{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series as Inputs to a Model\n", "> The easiest way to incorporate time series into your machine learning pipeline is to use them as features in a model. This chapter covers common features that are extracted from time series in order to do machine learning. This is the Summary of lecture \"Machine Learning for Time Series Data in Python\", via datacamp.\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, Datacamp, Time_Series_Analysis, Machine_Learning]\n", "- image: images/spectrogram_centroid.png" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "plt.rcParams['figure.figsize'] = (10, 5)\n", "plt.style.use('fivethirtyeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Classifying a time series\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Many repetitions of sounds\n", "In this exercise, you'll start with perhaps the simplest classification technique: averaging across dimensions of a dataset and visually inspecting the result.\n", "\n", "You'll use the heartbeat data described in the last chapter. Some recordings are normal heartbeat activity, while others are abnormal activity. Let's see if you can spot the difference.\n", "\n", "Two DataFrames, ```normal``` and ```abnormal```, each with the shape of ```(n_times_points, n_audio_files)``` containing the audio for several heartbeats are available in your workspace." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def show_plot_and_make_titles():\n", " axs[0, 0].set(title=\"Normal Heartbeats\")\n", " axs[0, 1].set(title=\"Abnormal Heartbeats\")\n", " plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "normal = pd.read_csv('./dataset/normal_sound.csv', index_col=0)\n", "abnormal = pd.read_csv('./dataset/abnormal_sound.csv', index_col=0)\n", "sfreq = 2205" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3, 2, figsize=(15, 7), sharex=True, sharey=True)\n", "\n", "# Calculate the time array\n", "time = np.arange(len(normal)) / sfreq\n", "\n", "# Stack the normal/abnormal audio so you can loop and plot\n", "stacked_audio = np.hstack([normal, abnormal]).T\n", "\n", "# Loop through each audio file / ax object and plot\n", "# .T.ravel() transposes the array, then unravels it into a 1-D vector for looping\n", "for iaudio, ax in zip(stacked_audio, axs.T.ravel()):\n", " ax.plot(time, iaudio)\n", "show_plot_and_make_titles()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Invariance in time\n", "While you should always start by visualizing your raw data, this is often uninformative when it comes to discriminating between two classes of data points. Data is usually noisy or exhibits complex patterns that aren't discoverable by the naked eye.\n", "\n", "Another common technique to find simple differences between two sets of data is to average across multiple instances of the same class. This may remove noise and reveal underlying patterns (or, it may not).\n", "\n", "In this exercise, you'll average across many instances of each class of heartbeat sound." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Average across the audio files of each DataFrame\n", "mean_normal = np.mean(normal, axis=1)\n", "mean_abnormal = np.mean(abnormal, axis=1)\n", "\n", "# Plot each average over time\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 3), sharey=True)\n", "ax1.plot(time, mean_normal);\n", "ax1.set(title='Normal Data');\n", "ax2.plot(time, mean_abnormal);\n", "ax2.set(title='Abnormal Data');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build a classification model\n", "While eye-balling differences is a useful way to gain an intuition for the data, let's see if you can operationalize things with a model. In this exercise, you will use each repetition as a datapoint, and each moment in time as a feature to fit a classifier that attempts to predict abnormal vs. normal heartbeats using only the raw data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "normal = pd.read_csv('./dataset/heart_normal.csv', index_col=0)\n", "abnormal = pd.read_csv('./dataset/heart_abnormal.csv', index_col=0)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "normal_train_idx = np.random.choice(normal.shape[1], size=22, replace=False).tolist()\n", "normal_test_idx = list(set(np.arange(normal.shape[1]).tolist()) - set(normal_train_idx))\n", "\n", "abnormal_train_idx = np.random.choice(abnormal.shape[1], size=20, replace=False).tolist()\n", "abnormal_test_idx = list(set(np.arange(abnormal.shape[1]).tolist()) - set(abnormal_train_idx))\n", "\n", "X_train = pd.concat([normal.iloc[:, normal_train_idx], \n", " abnormal.iloc[:, abnormal_train_idx]], axis=1).to_numpy().T\n", "X_test = pd.concat([normal.iloc[:, normal_test_idx], \n", " abnormal.iloc[:, abnormal_test_idx]], axis=1).to_numpy().T\n", "\n", "y_train = np.array(['normal'] * len(normal_train_idx) + ['abnormal'] * len(abnormal_train_idx))\n", "y_test = np.array(['normal'] * len(normal_test_idx) + ['abnormal'] * len(abnormal_test_idx))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.4444444444444444\n" ] } ], "source": [ "from sklearn.svm import LinearSVC\n", "\n", "# Initialize and fit the model\n", "model = LinearSVC()\n", "model.fit(X_train, y_train)\n", "\n", "# Generate predictions and score them manually\n", "predictions = model.predict(X_test)\n", "print(sum(predictions == y_test.squeeze()) / len(y_test))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Improving features for classification\n", "- The auditory envelope\n", " - Smooth the data to calculate the auditory envelope\n", " - Releated to the total amount of audio energy present at each moment of time\n", "- Smoothing over time\n", " - Instead of averaging over all time, we can do a local average\n", " - This is called smoothing your timeseries\n", " - It removes short-term noise, while retaining the general pattern\n", "- Auditory features: The Tempogram\n", " - We can summarize more complex temporal information with timeseries-specific functions\n", " - ```librosa``` is a great library for auditory and timeseries feature engineering\n", " - We can calculate summary statistics of tempo in the same way that we can for the envelope\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculating the envelope of sound\n", "One of the ways you can improve the features available to your model is to remove some of the noise present in the data. In audio data, a common way to do this is to smooth the data and then rectify it so that the total amount of sound energy over time is more distinguishable. You'll do this in the current exercise." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "import librosa as lr\n", "\n", "audio, sfreq = lr.load('./dataset/files/murmur__201108222238.wav')\n", "time = np.arange(0, len(audio)) / sfreq\n", "\n", "audio = pd.DataFrame(audio)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(time[:2205], audio[:2205]);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Rectify the audio signal\n", "audio_rectified = audio.apply(np.abs)\n", "\n", "# Plot the result\n", "plt.plot(time[:2205], audio_rectified[:2205]);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Smooth by applying a rolling mean\n", "audio_rectified_smooth = audio_rectified.rolling(50).mean()\n", "\n", "# Plot the result\n", "plt.plot(time[:2205], audio_rectified_smooth[:2205]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculating features from the envelope\n", "Now that you've removed some of the noisier fluctuations in the audio, let's see if this improves your ability to classify." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "# Calculate stats\n", "means = np.mean(audio_rectified_smooth[:2205], axis=0)\n", "stds = np.std(audio_rectified_smooth[:2205], axis=0)\n", "maxs = np.max(audio_rectified_smooth[:2205], axis=0)\n", "\n", "# Create the X and y array\n", "X = np.column_stack([means, stds, maxs])\n", "y = labels.reshape([-1, 1])\n", "\n", "# Fit the model and score on testing data\n", "from sklearn.model_selection import cross_val_score\n", "percent_score = cross_val_score(model, X, y, cv=5)\n", "print(np.mean(percent_score))\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Derivative features: The tempogram\n", "One benefit of cleaning up your data is that it lets you compute more sophisticated features. For example, the envelope calculation you performed is a common technique in computing tempo and rhythm features. In this exercise, you'll use ```librosa``` to compute some tempo and rhythm features for heartbeat data, and fit a model once more.\n", "\n", "Note that ```librosa``` functions tend to only operate on numpy arrays instead of DataFrames, so we'll access our Pandas data as a Numpy array with the ```.values``` attribute." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "audio = pd.read_csv('./dataset/heart_normal.csv',index_col=0)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Calculate the tempo of the sounds\n", "tempos = []\n", "for col, i_audio in audio.items():\n", " tempos.append(lr.beat.tempo(i_audio.values, sr=sfreq, hop_length=2**6, aggregate=None))\n", " \n", "# Convert the list to an array so you can manipulate it more easily\n", "tempos = np.array(tempos)\n", "\n", "# Calculate statistics of each tempo\n", "tempos_mean = tempos.mean(axis=-1)\n", "tempos_std = tempos.std(axis=-1)\n", "tempos_max = tempos.max(axis=-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "# Create the X and y arrays\n", "X = np.column_stack([means, stds, maxs, tempos_mean, tempos_std, tempos_max])\n", "y = labels.reshape([-1, 1])\n", "\n", "# Fit the model and score on testing data\n", "percent_score = cross_val_score(model, X, y, cv=5)\n", "print(np.mean(percent_score))\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The spectrogram\n", "- Fourier transforms\n", " - Timeseries data can be described as a combination of quickly-changing things and slowly-changing things\n", " - At each moment in time, we can describe the relative presence of fast- and slow-moving components\n", " - The simplest way to do this is called a Fourier Transform\n", " - This converts a single time series into an array that describe the timeseries as a combination of oscillations\n", "- Spectrograms: combinations of windows Fourier transforms\n", " - A spectrogram is a collection of windowsed Fourier transforms over time\n", " - Similar to how a rolling mean was calculated:\n", " - Choose a windows size and shape\n", " - At a timepoint, calculate the FFT for that window\n", " - Slide the window over by one\n", " - Aggregate the results\n", " - Called a Short-Time Fourier Transform (STFT)\n", "- Spectral feature engineering\n", " - Each timeseries has a different spectral pattern\n", " - We can calculate these spectral patterns by analyzing the spectrogram.\n", " - For example, spectral bandwidth and spectran centroids describe where most of the energy is at each moment in time." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spectrograms of heartbeat audio\n", "Spectral engineering is one of the most common techniques in machine learning for time series data. The first step in this process is to calculate a spectrogram of sound. This describes what spectral content (e.g., low and high pitches) are present in the sound over time. In this exercise, you'll calculate a spectrogram of a heartbeat audio file." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "audio, sfreq = lr.load('./dataset/files/murmur__201108222246.wav')" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "from librosa.core import stft, amplitude_to_db\n", "\n", "# Prepare the STFT\n", "HOP_LENGTH = 2**4\n", "# spec = stft(audio, hop_length=HOP_LENGTH, n_fft=2**7)\n", "\n", "# For the test\n", "spec = pd.read_csv('./dataset/spec.csv', index_col=0)\n", "spec = spec.applymap(complex)\n", "time = np.array(normal.index)\n", "audio = pd.read_csv('./dataset/audio.csv', index_col=0).to_numpy().squeeze()\n", "sfreq = 2205" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/chanseok/anaconda3/lib/python3.7/site-packages/librosa/core/spectrum.py:1702: UserWarning: amplitude_to_db was called on complex input so phase information will be discarded. To suppress this warning, call amplitude_to_db(np.abs(S)) instead.\n", " warnings.warn('amplitude_to_db was called on complex input so phase '\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from librosa.display import specshow\n", "\n", "# Convert into decibels\n", "spec_db = amplitude_to_db(spec)\n", "\n", "# Compare the raw audio to the spectrogram of the audio\n", "fig, axs = plt.subplots(2, 1, figsize=(10, 10), sharex=True)\n", "axs[0].plot(time,audio)\n", "specshow(spec_db, sr=sfreq, x_axis='time', y_axis='hz', hop_length=HOP_LENGTH);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Engineering spectral features\n", "As you can probably tell, there is a lot more information in a spectrogram compared to a raw audio file. By computing the spectral features, you have a much better idea of what's going on. As such, there are all kinds of spectral features that you can compute using the spectrogram as a base. In this exercise, you'll look at a few of these features." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "spec = np.array(np.abs(spec))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Calculate the spectral centroid and bandwidth for the spectrogram\n", "bandwidths = lr.feature.spectral_bandwidth(S=spec)[0]\n", "centroids = lr.feature.spectral_centroid(S=spec)[0]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "#hide\n", "times_spec = np.array([ 0. , 0.00725624, 0.01451247, 0.02176871, 0.02902494,\n", " 0.03628118, 0.04353741, 0.05079365, 0.05804989, 0.06530612,\n", " 0.07256236, 0.07981859, 0.08707483, 0.09433107, 0.1015873 ,\n", " 0.10884354, 0.11609977, 0.12335601, 0.13061224, 0.13786848,\n", " 0.14512472, 0.15238095, 0.15963719, 0.16689342, 0.17414966,\n", " 0.1814059 , 0.18866213, 0.19591837, 0.2031746 , 0.21043084,\n", " 0.21768707, 0.22494331, 0.23219955, 0.23945578, 0.24671202,\n", " 0.25396825, 0.26122449, 0.26848073, 0.27573696, 0.2829932 ,\n", " 0.29024943, 0.29750567, 0.3047619 , 0.31201814, 0.31927438,\n", " 0.32653061, 0.33378685, 0.34104308, 0.34829932, 0.35555556,\n", " 0.36281179, 0.37006803, 0.37732426, 0.3845805 , 0.39183673,\n", " 0.39909297, 0.40634921, 0.41360544, 0.42086168, 0.42811791,\n", " 0.43537415, 0.44263039, 0.44988662, 0.45714286, 0.46439909,\n", " 0.47165533, 0.47891156, 0.4861678 , 0.49342404, 0.50068027,\n", " 0.50793651, 0.51519274, 0.52244898, 0.52970522, 0.53696145,\n", " 0.54421769, 0.55147392, 0.55873016, 0.56598639, 0.57324263,\n", " 0.58049887, 0.5877551 , 0.59501134, 0.60226757, 0.60952381,\n", " 0.61678005, 0.62403628, 0.63129252, 0.63854875, 0.64580499,\n", " 0.65306122, 0.66031746, 0.6675737 , 0.67482993, 0.68208617,\n", " 0.6893424 , 0.69659864, 0.70385488, 0.71111111, 0.71836735,\n", " 0.72562358, 0.73287982, 0.74013605, 0.74739229, 0.75464853,\n", " 0.76190476, 0.769161 , 0.77641723, 0.78367347, 0.79092971,\n", " 0.79818594, 0.80544218, 0.81269841, 0.81995465, 0.82721088,\n", " 0.83446712, 0.84172336, 0.84897959, 0.85623583, 0.86349206,\n", " 0.8707483 , 0.87800454, 0.88526077, 0.89251701, 0.89977324,\n", " 0.90702948, 0.91428571, 0.92154195, 0.92879819, 0.93605442,\n", " 0.94331066, 0.95056689, 0.95782313, 0.96507937, 0.9723356 ,\n", " 0.97959184, 0.98684807, 0.99410431, 1.00136054, 1.00861678,\n", " 1.01587302, 1.02312925, 1.03038549, 1.03764172, 1.04489796,\n", " 1.0521542 , 1.05941043, 1.06666667, 1.0739229 , 1.08117914,\n", " 1.08843537, 1.09569161, 1.10294785, 1.11020408, 1.11746032,\n", " 1.12471655, 1.13197279, 1.13922902, 1.14648526, 1.1537415 ,\n", " 1.16099773, 1.16825397, 1.1755102 , 1.18276644, 1.19002268,\n", " 1.19727891, 1.20453515, 1.21179138, 1.21904762, 1.22630385,\n", " 1.23356009, 1.24081633, 1.24807256, 1.2553288 , 1.26258503,\n", " 1.26984127, 1.27709751, 1.28435374, 1.29160998, 1.29886621,\n", " 1.30612245, 1.31337868, 1.32063492, 1.32789116, 1.33514739,\n", " 1.34240363, 1.34965986, 1.3569161 , 1.36417234, 1.37142857,\n", " 1.37868481, 1.38594104, 1.39319728, 1.40045351, 1.40770975,\n", " 1.41496599, 1.42222222, 1.42947846, 1.43673469, 1.44399093,\n", " 1.45124717, 1.4585034 , 1.46575964, 1.47301587, 1.48027211,\n", " 1.48752834, 1.49478458, 1.50204082, 1.50929705, 1.51655329,\n", " 1.52380952, 1.53106576, 1.538322 , 1.54557823, 1.55283447,\n", " 1.5600907 , 1.56734694, 1.57460317, 1.58185941, 1.58911565,\n", " 1.59637188, 1.60362812, 1.61088435, 1.61814059, 1.62539683,\n", " 1.63265306, 1.6399093 , 1.64716553, 1.65442177, 1.661678 ,\n", " 1.66893424, 1.67619048, 1.68344671, 1.69070295, 1.69795918,\n", " 1.70521542, 1.71247166, 1.71972789, 1.72698413, 1.73424036,\n", " 1.7414966 , 1.74875283, 1.75600907, 1.76326531, 1.77052154,\n", " 1.77777778, 1.78503401, 1.79229025, 1.79954649, 1.80680272,\n", " 1.81405896, 1.82131519, 1.82857143, 1.83582766, 1.8430839 ,\n", " 1.85034014, 1.85759637, 1.86485261, 1.87210884, 1.87936508,\n", " 1.88662132, 1.89387755, 1.90113379, 1.90839002, 1.91564626,\n", " 1.92290249, 1.93015873, 1.93741497, 1.9446712 , 1.95192744,\n", " 1.95918367, 1.96643991, 1.97369615, 1.98095238, 1.98820862,\n", " 1.99546485, 2.00272109, 2.00997732, 2.01723356, 2.0244898 ,\n", " 2.03174603, 2.03900227, 2.0462585 , 2.05351474, 2.06077098,\n", " 2.06802721, 2.07528345, 2.08253968, 2.08979592, 2.09705215,\n", " 2.10430839, 2.11156463, 2.11882086, 2.1260771 , 2.13333333,\n", " 2.14058957, 2.1478458 , 2.15510204, 2.16235828, 2.16961451,\n", " 2.17687075, 2.18412698, 2.19138322, 2.19863946, 2.20589569,\n", " 2.21315193, 2.22040816, 2.2276644 , 2.23492063, 2.24217687,\n", " 2.24943311, 2.25668934, 2.26394558, 2.27120181, 2.27845805,\n", " 2.28571429, 2.29297052, 2.30022676, 2.30748299, 2.31473923,\n", " 2.32199546, 2.3292517 , 2.33650794, 2.34376417, 2.35102041,\n", " 2.35827664, 2.36553288, 2.37278912, 2.38004535, 2.38730159,\n", " 2.39455782, 2.40181406, 2.40907029, 2.41632653, 2.42358277,\n", " 2.430839 , 2.43809524, 2.44535147, 2.45260771, 2.45986395,\n", " 2.46712018, 2.47437642, 2.48163265, 2.48888889, 2.49614512,\n", " 2.50340136, 2.5106576 , 2.51791383, 2.52517007, 2.5324263 ,\n", " 2.53968254, 2.54693878, 2.55419501, 2.56145125, 2.56870748,\n", " 2.57596372, 2.58321995, 2.59047619, 2.59773243, 2.60498866,\n", " 2.6122449 , 2.61950113, 2.62675737, 2.63401361, 2.64126984,\n", " 2.64852608, 2.65578231, 2.66303855, 2.67029478, 2.67755102,\n", " 2.68480726, 2.69206349, 2.69931973, 2.70657596, 2.7138322 ,\n", " 2.72108844, 2.72834467, 2.73560091, 2.74285714, 2.75011338,\n", " 2.75736961, 2.76462585, 2.77188209, 2.77913832, 2.78639456,\n", " 2.79365079, 2.80090703, 2.80816327, 2.8154195 , 2.82267574,\n", " 2.82993197, 2.83718821, 2.84444444, 2.85170068, 2.85895692,\n", " 2.86621315, 2.87346939, 2.88072562, 2.88798186, 2.8952381 ,\n", " 2.90249433, 2.90975057, 2.9170068 , 2.92426304, 2.93151927,\n", " 2.93877551, 2.94603175, 2.95328798, 2.96054422, 2.96780045,\n", " 2.97505669, 2.98231293, 2.98956916, 2.9968254 , 3.00408163,\n", " 3.01133787, 3.0185941 , 3.02585034, 3.03310658, 3.04036281,\n", " 3.04761905, 3.05487528, 3.06213152, 3.06938776, 3.07664399,\n", " 3.08390023, 3.09115646, 3.0984127 , 3.10566893, 3.11292517,\n", " 3.12018141, 3.12743764, 3.13469388, 3.14195011, 3.14920635,\n", " 3.15646259, 3.16371882, 3.17097506, 3.17823129, 3.18548753,\n", " 3.19274376, 3.2 , 3.20725624, 3.21451247, 3.22176871,\n", " 3.22902494, 3.23628118, 3.24353741, 3.25079365, 3.25804989,\n", " 3.26530612, 3.27256236, 3.27981859, 3.28707483, 3.29433107,\n", " 3.3015873 , 3.30884354, 3.31609977, 3.32335601, 3.33061224,\n", " 3.33786848, 3.34512472, 3.35238095, 3.35963719, 3.36689342,\n", " 3.37414966, 3.3814059 , 3.38866213, 3.39591837, 3.4031746 ,\n", " 3.41043084, 3.41768707, 3.42494331, 3.43219955, 3.43945578,\n", " 3.44671202, 3.45396825, 3.46122449, 3.46848073, 3.47573696,\n", " 3.4829932 , 3.49024943, 3.49750567, 3.5047619 , 3.51201814,\n", " 3.51927438, 3.52653061, 3.53378685, 3.54104308, 3.54829932,\n", " 3.55555556, 3.56281179, 3.57006803, 3.57732426, 3.5845805 ,\n", " 3.59183673, 3.59909297, 3.60634921, 3.61360544, 3.62086168,\n", " 3.62811791, 3.63537415, 3.64263039, 3.64988662, 3.65714286,\n", " 3.66439909, 3.67165533, 3.67891156, 3.6861678 , 3.69342404,\n", " 3.70068027, 3.70793651, 3.71519274, 3.72244898, 3.72970522,\n", " 3.73696145, 3.74421769, 3.75147392, 3.75873016, 3.76598639,\n", " 3.77324263, 3.78049887, 3.7877551 , 3.79501134, 3.80226757,\n", " 3.80952381, 3.81678005, 3.82403628, 3.83129252, 3.83854875,\n", " 3.84580499, 3.85306122, 3.86031746, 3.8675737 , 3.87482993,\n", " 3.88208617, 3.8893424 , 3.89659864, 3.90385488, 3.91111111,\n", " 3.91836735, 3.92562358, 3.93287982, 3.94013605, 3.94739229,\n", " 3.95464853, 3.96190476, 3.969161 , 3.97641723, 3.98367347,\n", " 3.99092971, 3.99818594])" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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+tlqETb90u22seo4xLAPbtTFto7luQNPeeV4wPZ4xun2E5To4bQ9N04iDiNWs6uPrOcUwq76gaiqmqaHWi9YiL4nClNvfOmR6eILbbaOoCqvxrHkQt/NQdZ9zPLP57CzNiaNq/gsWEbdfvkEWJ2xe2sPxHJKomh/W92xVreap6fGEcL6sFradFm7brfuX1ZxnGmcspktWs2UzP63vj3EQnenvqq417fK7/9eb+d/hgT05fstb3sKv//qv84lPfIKf//mf59y5c/zTf/pP+fCHP9xs8xM/8ROEYchP//RPM51Oeetb38pv/dZvNQtjgC996Uv8zM/8DB/4wAcAeN/73senP/3p5vVOp8Nv//Zv8/GPf5zv+Z7vodvt8tGPfpSPfexjf30nK4QQQggh/kZ4YItjgPe+9728973vfcPXFUXhmWee4ZlnnnnDbXq9Hl/84hf/3M958skn+b3f+72/8nEKIYQQQoi/HR5o+WghhBBCCCG+ncjiWAghhBBCiJosjoUQQgghhKjJ4lgIIYQQQoiaLI6FEEIIIYSoPdC0im9nrqOwtdNitUpJkpzDa8dMD0+agPs0TsjihMG5bbodD1VTCRYBd1663uxj77GLOH6VMRoFMXEQV5mQfpXpNz084fTmAV7Hw2sbtHvrjMQqr/Sl//tFLjx5ieFOG01TCVYJL155ns7WgO6wB9CE7C9GU3TDqPJZ87wJCO8Oe2zsDtENDUVVWEwDkijBcq0mqzBcRtx+8RqGY7N3eb8OSo84uFrlka6zT8P5ClXbJQoTlpNVk1e6Zpgm7UEbzdCYn85wfBvbNev2yrjx6gGdjS7d4ToPOeLOt6qKiOsMycFOH9sxybKc6cmccBlhOut9pJzePKC3u8n2hU26A480aTM5mdfnEWLZFqZjkq/zJ10Lx7ubz3rn5imz4zGPfNcjuL6J7fRo930W0yr78s61E7qDNm6rek+Vr7p43T5i+x793Q0M02B6MmsKfsDZYgHbD+2jGzqFWoepT2KC6Zzu9rDJdfTaDnnaZVlncE6PJ8SrEK/fwev4FEVJuIpR64DhKEwI5gGmY7J5YYflZMH08ATHP9+URY+jlGAR4LZcdF1DN1TMrsND33ERgPlkxfH1Q+IgRDP0M8Vp1nTLpDPsA5BnVUB8mmRNfvBqETE5GpPGKWmckIYRO4+cx/GrjM7l8ZTJnWOcto/XadHfvVuVcp1Fu5wsmsxZnzbH1w+asVVd14BgOuf8kw/T2/DZ2O3SGbyZKEya7OvDV26zZI7tWszHC8Z3TuhuDZqQ+yytssBnxyOKLKc16NHfGdDuV6/7bRvD1BkdTtANnXbfR1EVgoXLcd2XyrJg49xWkwO+zt19reGFXbYvbmKYVWGUYBk1RSnu7TtO20NVVZIwbvJliywnDiLSuDquqlDEIWl9bc49dpF2v8XsdM7B1Rs8+rYn6G/6aJpCFFZ5o7qhc/0bVzGsKpt6nTW8LriQJj6rRcTJrWNW4xmaYdAadFFUpcmZXReXWfdl3dAp8pzFaNocp+U5WK7Darpots3uybDO0pxlmhMHcVN4JAruBv+ncUIcxbhtl/52D8sx0TSFPK/G6uhwwvGrt9l77CKqqnB6+7jOgR7gt6v+ZbtVJmqwShkfzZiPpji+S2djnctrYbs2RVlQ5AWaVuW8atrdgj13jzfF77XpbfdRNZW8zq9eTJZMD08oPAfTtlmMRnW7XARA1VXCFYTLan53PAvXt5tse4DpaN4UZopXIbOjEZbnNJm8hmVg+y6mY9VjKa2KRi1m3PlWla3f3ezjthyyNOfo2h2SMGbnkf0m83l4bkiaVPnUo9vHXP3vf8Yjb328KtZQF+A4vjXh4Fs32bt8nizNObh6A7fbpt3v1OekN1nciqoQzpcEvktWF4wqipIsK4iChGgV0eq3SKKEG9/8VlN8Y+viHqZdZXQnYYKmaVz4jkcw6jzfPC+Jo4Sjm+P7xo9XH0eeF+R5gW6oWLaO27LpbQ9I6lz8LM3wXA+nX+XermYBJ0mG5Tl0N+t7Y1GS5zmGVRVDydKc1WzZ5OI7votu6MxPxhiWSXfYafL1ocryVnUVwzLY2NskCiLC+YosTe8r8mJ5NnGYNHnq6/tPq1cXZpqtmNyp+q/f65wZM7uPXsBtORiW0fTLaLnC66wLaLmYpk4UrusAOGfuaVldB6C7vYHbuptzHwUWtl+tKXRDJ1iEhMuQJIpxWx6tnt9kaOd5wdGNExajKZuX9rBdm7IoaHXbzE6ruenmC68yvLDLYKeHnhbMJytuvvBqsz4YXtjl3GMXmuIgy8mS8cHx6xbEWRfb8Totupvdps3XhXSSsMrPNiyDdr/T1IZYjKb0dzbxOj6aoRMHUdNm4esUJPpfIU+OhRBCCCGEqMniWAghhBBCiJosjoUQQgghhKjJ4lgIIYQQQoiaLI6FEEIIIYSoyeJYCCGEEEKImiyOhRBCCCGEqMniWAghhBBCiJoynU7LB30Q347+3R+2+Pp/P2Bzr0OWFYSrhNnpgjSugrsNqwpvT6KE+WiK12nh+E4dHl+FXq9myybc/1693U0AHN9BURTSJKXIChzfxrAM1LrAgm5oWJaObmgUZUkUpKzmVZD3+jiSKCYJI9y2T1mU932e0/ZpDTqoispiOmc1ngFVCHd3e+PMccRBzOnNAwA6WwMcrypWUpQFuqFj2iZpXBWWCGYLsiRrihvYvovb9nFbDl7HxfFMNE0lq9tiOY9YTlbkeY6maeR5zvy0KnQBVbEJv9fBsIzqf6ZBmqQkYdK09bpti7KgO2jT6joYpkaeVyHkUZgRBwlRmFAWBZqh47XspvgBVIUJ0iQnjTOSuphFmmSMDk4BCKYLLNfBaXt1EHpJmqSEdXB8OF9SFgWqruF12piOhaIozXEDKIpCEiWEy7AJ1N+8tIfjVYHsRZ4TRwlFVpDVhQZMx0Q39ObPs+MxSRjjdlsUWU44X565roZjk6cpluuwsTfE67jYjkGel01Bk8NX7hDVwei93U02z21gmDppUn3G5GTG8au37+uffx5V1zBtu9lvde2rghXdzT5+r/r/k2hdFCIjjVOyNCNaBs15rIPm1+21LgiyVhZl0xYAav26ZujYroll6Sjq3YIR60D8qghCTrAIydKMou4b60IilufQ3ugRBxHzk3EzFgc7fRzPwjS1+rhzwlXCahFi1UVoHM+qx2vGfLwkSzNM2zxzjKqmoRsamqZSlCVJlBLMA4LFqj7OAsMycVseVh3WHwcx0+MxUIX/K2o1/luDLqa9DumvxpFlW/X4srBdA9vW0Q21KjYSVG0+GwUs5wGmbWLZVQGE2en8TPuGq4AkjNENvf7coAnzfz2GY9Pd7DfnWxW4SDm9efiG7+tsDVA1jeVkThpGTd9ZX2vTsehsdHFbVT9YzQJGByMGO1Whpc6ghW6oZGlBmmREQUJZlpi20RSUWBfayPOqyEcSJkRBRBJVhRFM2yIOQsL5ksG5bbyOR5ZmzE6nRItqnOT3FC6Bu0UZ1gU8ZqczZscjyqJAUVX8Xgen7TbFB9I4ZXY6IQ0jFFWlsznAbbsUWcFqVvV3VVdRFJVoGaCoCpbrkKcZUVDNf27bw7QtVrMlwXSO4dgUWU5ZFph21T6GZaLq1bVWNQ1N1zBtsymgoGoahqWjKgpZXXhhXRBoXbRn3fZlUaKo1birxlq1fdXOEUmYNEUwvI6P462PQccwdVQFirIq2pDnBUmUspxVfXw9p7jdutjTdM7g3DaD7V59TQzyvCBoCgglqLpGnmRNEZnh/jb9rQ6qphKuYq5945X7ihR5/Q47l3bwfKsqYBNlhKuYoL6uhmng+HbTHmmc1vcWvWmD1SIkT3MUVSFLM8qibIpOre/NaZySxSnhctUcw7pYSbwKm79rDXqkcXJmbrz3WKu+GFXFnbqtplCNadf3yixnUhdNutfmpT00TSOJEpIwxu+1MG2zmR+X00VTYGZjfwev46HpKnGYsJwu6nOprn+0DM4c38b+DgDdzQ6GqaNpKoZVF9VYJYyPpk0fdjyX9qAqBhMuI1azJfOTcbMvp+3T2x7cU4QkZnzn9A3bo9VtY/s2uqERB9V4Pbx2QBreLRS0LrR1b//TNJU4SpmPFxy/ehvNMBjub6Pq1Tl+6V/07vu8vwp5ciyEEEIIIURNFsdCCCGEEELUZHEshBBCCCFETRbHQgghhBBC1GRxLIQQQgghRE0Wx0IIIYQQQtRkcSyEEEIIIURNco7fwH/4kw4HRwmT04DVMub4xvGZTD/dMmkNuuRpRhLG2L6L16kyXidH1XbBdH7ffnXLZOehPQAs1yIOYo5vHDZ5vwBWnYfb3uhh2iaGZZCnGcvZivnJ5L5cToD2sI/fa6FpKsEiZDmp8oxtv8rbfL28ZcOpsgNNx8IwTTRdI40T8jynqHMyAfxeG7flkiYpi9H8dfd1r81Lewy2e+iG1uTdBouQ+XjO7GiE1+/QrnMi13nNAKvZosnB7W4P6Wx00A3tblbydMnk8IQiy+luD9m+uIntGGRplbM6OpxycPXGmWPZeeQ8ra6HYVXZlk2+5uGYxWjS5ECvM0vHByf1tXHuu97AmaxNy3PIkow8TVF1jZ2H96v26rjohtbkf1Y5v3mTdZvGKY7vksYJi9GUsijQLfPMvvceu4jj2xR5QTAPWc2W5HneZCnrRvV/l5MZiqKydXGHdt/DdnSyrGqPycmS0e1T8jyn3e9g+zZ5mnF4rcqyTsMIy3NQteq6vzZHdE1RVWzfRVHV1+3T3e0h7UG7uVbhMmR8p2rHPE0ZnNtucmPn41mzj3XGpuVaTW7uOp92NV00x2N5DkVRNvmXumViWCa6YaDX7eH4DpqmVrm60yWjW4fNewF6WxuYjolh6iRRwnK2IovTJhtznUGa5zlb57cwbaPpJ+06j7TV81AUhdU8ZHRwShLGtAfdJvs3z3PmJ1Oi5QrDsfE6rSbn+l66ZbKxt0VR1rm8y6DJMb4343N9/EkYN1nC6xxdx3dodT0s16xyarOcor7u09Gc41dvs/voBRzPJk0ygnlAmiRN30njhDROzlxT3TJx2z4Atu+gaVqTi5ul2ZlM7PW+1/nCZVFUGeJxSllWt5SiKJpxFa6CJmO9s1XlGLstr8nB1g29+ax1TqrlWk0+b7iKObl5VF0rx2pyXf9ndLeHuO0qsz0O4jPjDqo8Xr/XQjd0dEMnz3KCRdAcO8Dk8PTMvGs4dvP6a3NcLc85M5+/9jiKrCBNUgzTwParOXidCV/kOVEQMzk8bfp/e9ivPtMymZ2MyeKkmbfCeXBmPvb6HbyOj6qoTI5O7zsOVdcoshzb9xjsDbFdiyzNWdUZxeOD4zNz/2upenXO6+xlr9vC7/rY7t2877IoicKE1WzVjMPO1qCZs7I0xTCr7e+d8zXDaPpAf3eI3/GqnONlxGI8v28+dts+tu/gtlws26AsSsZH0yarXzMMBuc20Q2d5WTB/GTM4Nw2rX6V1WvZBrZjkCQ505M5B1dvYDj2mTG4zpvO0xTdMhnub2O5VpO7XhQlSZQwPZ4046g97KPV+eF5mmHU944oCJsxAFUuMlT9uSgKDMvAsk3yvDiT8Z6ECfPTMUWWMzi3TXfYIc8LZqfVvuYnE3rbG+R5zuTO8Zn5JQ6qc1E1Ddu1ydKM8Z0T8jRFUVWGF6o52HZtbMfE69h4nomqKgRByvh4QV7PK5ZtsJwHjO+ckkR397u2zmcvi6LOi67G8Wsz+lVdozXoNuuS7vaQjb1qTljfQ+IgbtYLrUGPwV5Vk0FVFcJl1Gxb5X2rFEXZZNp/4ZkW/zvIk2MhhBBCCCFqsjgWQgghhBCiJotjIYQQQggharI4FkIIIYQQoiaLYyGEEEIIIWqyOBZCCCGEEKImi2MhhBBCCCFqknP8Bv79/9Pmz/5sRhKlhKuY2y/dIE9TbL/KMs7SlCLPURSVIs8pi4LhhV0c30FRqgzEcBWSpzmGaaAZGpZj4ngWpq3X+yhYTAPGByPCZYDju032J0CwWGHaFrqhn8kJvdc6q1g3dLqbfdxWlfeaJNU+4iAmCqImjzlartAMg7Is7suzbA16mI6FoigkUUwcVBmZnc0+qqISR/Eb5k5lpz4AACAASURBVCxDlRe6sTek1XXJ84Lp8ZzDV242ryuqit/r0N3s4ng2iqoQLKrPuPnCqyiqysb+NpqmcXr7CE3XOPfo+SajOFhEBPOA9qCF69skUcrNl242OYoX33wZ3dAIlxFxEHN684DO1oCN3Q3yOgPx+je+haIqdDYHTO4cY/seu4/sYTl1Vm2aMzqcMLp1iOU5WK5DWZT3ZTt3t4cYVpWtuc7qdOqM2P7ORpODqdZZsYvxosn8vFdvdxNVVQmXVa6q16n24bYdXN9GN+5+f9U0tTmPOMqYHM0YHZyQhhFev8P2hW1s10TV1nmTJfPJinAZ0u63UFSF1SxgclhlxL42n9X2PTRTb/JVnZaPoioUeZVfG69CDMskWq6acdAadDAsgzROmZ9O7stVbQ/7eB0fx7dRNZU4iFlMlsRBSFlUU0+e5/fl+677S3VcLoZlNv33f4aiqk2OLcD2Q/uYjsnsdMpyPKe7NSAKQvQ6j3SwM8AwdXSjzq4NEm6/fAvN1Nk6v1XtU1FYTJccv3oby3No9bskUXwmf7U97GPVeaLrjFFFVVCV6lyctoumaSRRwnw0fd3zhmosrXNTB+e28btVvyjynMVkiWEZLCfz+zJEAc4/+TBe2yEOE45uHBFMF+xePt/kBweLKjfbcm3cloth6aiKQlGWpHE1b8zH1Wf3NrsYpk6aZITLqMnqNm0Lt+ViuyZpUmWwp3GKZVtodRuux6Dtewz3NzFtk7IsmY8WAE0e7drg3Da2ZzeZu/dmRKu6ht/roBn6mc/I0/xM/neRnc2I9Xs+pqmznAfceek6qq7htP0zc+nG/g5+r8rqLYuSYBEyPZ42WbXtQRtVU0mihDiIMUwDw9KbsbicLJrc5HV/NyyDPMub/uX4VWZzuIo5vHZInqb4vU4zJ6znznAZcnL9DlDNMZquEdXzcJHluG0fVVPJ0oxgVrVjUY+j1/aldaYx3L1P2K6D5dqYjkm4DJncOa7+vh7PZVmcGcOGY+O2vSbPVlVV8qzKY87SrOmj3e0h3c1u874iL6r935PXfC/Lc/B7HVRNJVqGzfy6zpPfvLBT3feWIaPbR/fdq+4d3+s2DxYrVtMFWp3FvD6P1qBHd7N7XwY6wP4Tl+hvtjEsvc5nTomC6ngX0yWjW8fkaYrh2GzsbTb313BVtfXJzWO6m33afR/N0NA0FUVVSJP1OFqSpRm2a1cZ6bMVpzcPzmQ639s+Xr9DZ6Nqx+lx1Sb3ZstvXtqj3W/heBb128nzKle6yvDOqjoFeUFxz/ynaVqTzxwFcTOOX7umUFSV73jP36E/cDBNlTQrmU2rcz28PmrqCKi61vSZ18u+v/c693eGzVwfRzG2a1cZ/kVJnmakcdbc492Wg6qpzXyTpzmqrjZ553leZcOruorf8UjjlJsvvMrG/g5mfQ//0r/oveHx/GXIk2MhhBBCCCFqsjgWQgghhBCiJotjIYQQQggharI4FkIIIYQQoiaLYyGEEEIIIWqyOBZCCCGEEKImi2MhhBBCCCFqD2xx/MlPfpJut3vmf48++mjzelmWfPKTn+Txxx9ne3ubH/qhH+KFF144s4/pdMrTTz/N+fPnOX/+PE8//TTT6fTMNt/85jf5wR/8Qba3t3niiSf41Kc+RVlKtLMQQgghhLif/iA//PLly/zu7/5u82etDhoH+OxnP8vnPvc5Pve5z3H58mU+/elP8/73v5+vfe1rtFotAD784Q9z69YtvvzlL6MoCj/+4z/Oj/zIj/Abv/EbAMznc97//vfz7ne/m6985Su8/PLLfPSjH8V1XX7sx37szz22soQ4SDi+dcr08ITzTz6M41lN8HuwCEnCpAl5Xxf50HWNVV3YYn4yxeu2aPd93JZVhYPHOcEiBkDVVBzPor8zIE87OJ5NUZZkaRV43t3sNMHxqzrw3Wn7WK5DElX7CKZzbN+jLEqSKKG/1cHxTOKoCiFPooTORgevZZOlObPTBSc3D+ltD/E6VYj3OuT/9PYJeZbjdTzctku4rILjl5MFbsurAuDrAiC6ZdIZ9rHqwgKKoqAbOrZrYpgavm3h+RadjepazU4XhKsAy7VRNY04SsnSjLw+191HL2C7VlP4YufSBlCF+tf54bR7Hl7bQTc0LFvHa5m0uo+SJNU+sjRHVRVa3Sqo/dKbdlFVpSnKArC19xaytCBJcs49soOmKWiaSlF/YYoC8DoeRbGJYRkYpkESJWT1ecdBiNP2cdsupm2Spxm6oeN1WuR5dRzTk6oYRhYnOG0fr9PCMA3awz4Aq+kCwzLpbQ+aMHRFUcjznHa/Kvag6iqvfOMaRZZz6e9cQlUVrr96h8FOtY/ehkent83eQ8Mz5398a9QUEXjsHW/i3MUBhqmSZQXzWczp7VFTSMPrdwjnyyZgvywLWt02bttp2ivPCubjOfFqjtetrqWiKk3xCaft1X1kfl/xgPW5zk/GdLYGDHYGuC0HRVU5jWLC+bw5js5GD93QUXUVwzSwbKMp9FCWJeEyZnY6O1MERNW1pjjBOkhfMwzctk9r0MbxbEy7Kg6hG1odzN/F6/iYtsnm/kYTLq+oCp5vomkKeV5dj80L20RBRDCvzst0TDRNo7s9JFoGnN48QFFVBue2q/PoeJi2gaap9Vibk6VZU0QC4OTWMavxjMG5bQY7Q1az5ZkCM52tAZZroxs62xe3cX0b2zXQ9bsh+J1Bi8U0wG25WLaBqqsoitIUnknjjHAVo6oKG7tDyp2N5vOhCtrXjaoowLqYwGoZMx8vmrB+rS5es247gEWaMTsaNfvpbg85Tap2X/ejdSEZqIpWbF7aozto43VsdF0libIz43ExnpJnOY7voRkaeXq3cIbX7xAtAlRdw+u06G/3mjl4dloXwCgL3JaLpqukcUpZlFiuhdeq+rDjmRiWTmfgsrXfJ1wlLCYrdENnNa32MTudUJYlSVTNZXEQo1tGcxzVfiy6Aw/D1DB0jbwoWC2qc1cUhfnJGKft098Z0Oq62I6OpqlEYTVvLOcRaZzh+jaPvfVhyqJkOY+wPbv5DN3QGOz0GOz0yNKcLM0JFmeLP+mGgW4ZzI5HzbhdF8tx2j6KqqJpGnmeE0zndLeHDHb62K7ZHGtZluR5QbvvM9wdkGU5cVidy+RoDITolonf6zR9N1pWhSDiKKaz0cHvOBimVt13kpxgEXF84wjgNYVBBkyPR2RxguVV16Sz2afVrYquVAWnUrqbXaIgpqjvr8fXDyiLEq/bwu91zhTaAWgNunQ2Os39J1xGZGmGYZkYdSGR9kYPRVUwTIMszYlmK6JlgNttA5CnVQGJONpj9+IQ2zFQNaUpqqIbOoZlkqcpRZaznCxQ1Op+EUdVe3ndFoalY7lmM38kSd7cwzVNpSw03JaN7Rh0Bx6DnR7z8ZLZafUg794iIKvxjNV4htfvYNrVuRW+VxdNKji9eYjjVeN3PVaXs4DFeN78OY2TNyyWtP3QPp2NNp2NNuEywvHc5jXLtfA7bjUfrFKi6Oy9Uzc0FFVF1TTsllsXlLHobVX3pCIvmnugqqhohkaapMzHM4bnNgHYubSBYxvN+Ln9ymFTiGbdl7cu7mFYOtOTCavxjI39nWYsHl27jelYXHzyUn2fV9i7tIGqKPcUzHr9wkp/WQ90cazrOltbW/f9fVmWfOELX+Anf/In+Xt/7+8B8IUvfIHLly/zm7/5m3zoQx/ixRdf5I/+6I/4/d//fd75zncC8Iu/+Iu8733v4+WXX+by5ct8+ctfJgxDvvCFL+A4Dm9605t46aWX+PznP8/HPvaxMxdeCCGEEEKIB/qb42vXrvHEE0/w5je/mX/4D/8h165dA+D69escHR3xvd/7vc22juPw7ne/m69+9asAXLlyBd/3m4UxwFNPPYXneWe2ede73oXj3H0S9n3f930cHBxw/fr1v4YzFEIIIYQQf5M8sMXx2972Nj7/+c/z5S9/mV/6pV/i6OiIH/iBH2A8HnN0VP3zzHA4PPOe4XDI8XH1CP74+JjBYHDm6a+iKGxsbJzZ5vX2sX5NCCGEEEKIez2wn1X83b/7d8/8+W1vexvf9V3fxX/8j/+Rt7/97QD3/eyhLMv7FsOv9Rdts/6P8eQnFUIIIYQQ4rW+baLcfN/n8ccf55VXXml+h/zap7unp6fNk9/NzU1OT0/PJE+UZcloNDqzzevtA+5/Ki2EEEIIIcS3zeI4iiJefvlltra2uHDhAltbWzz77LNnXn/uueea3xi/4x3vYLlccuXKlWabK1eusFqtzmzz3HPPEUV3/+vFZ599lp2dHS5cuPDXdGZCCCGEEOJvige2OP5n/+yf8cd//Mdcu3aN//bf/hv/4B/8A4Ig4O///b+Poij8o3/0j/jMZz7D7/zO7/D888/zkY98BM/z+OAHPwjAY489xvd///fzUz/1U3zta1/jypUr/NRP/RTvfe97uXz5MgAf/OAHcRyHj3zkIzz//PP8zu/8Dp/5zGf4yEc+Ij+rEEIIIYQQ93lgvzm+c+cOH/7whxmNRmxsbPC2t72NP/zDP+T8+fMA/MRP/ARhGPLTP/3TTKdT3vrWt/Jbv/VbTcYxwJe+9CV+5md+hg984AMAvO997+PTn/5083qn0+G3f/u3+fjHP873fM/30O12+ehHP8rHPvaxv/D4fE9h/1IPgMFOH8ez8FrmPXmjLVbLhNloSRImpElKkRdVNq5VZatuXdypswEVpqMVSZSwGM2bXNPO1oBzj+yytddBU1XCKOX41oQ7L98AYPfyeVo9j87Ax23ZpHGGpqlNHihAHG2i6VVest+2cFwDVYHMrY7B9QzyvKQsSnJTwzB7DHa66Lra5JdmaU6S5LS6F1A1FVWBKEyJgrtP3BVVwXFtvCcfJgkT4ijGcq0ml1dRFEaHE4JFwO7F6icruqHieFXmZFn4ZGnGYjSjLEqyNGNy5xi9zqTsDPvoho5uqFi2TpLk3Lp6xHIyZ2Ov2l+wCBndOkS3TC686RK9oY9l6U1G8cGrxywnc84/fh7TNsiyHF3XMKy7+dnzcUBZlnh1lm8cZSRRWmfgwuRwTLhcsfPQXpOhCVDU+Y1lUVJkOXdeuk5r0MNpu8yOx8SrkO2H9qs2b7lMqbI4ty9sYpoa4SohS6vP8C9VucfhKiRLc1pdl1bXJU2yJqvSsnT+zrsebfpblhU89KZzTZajYWikac5sEhAH1bUo8irz9bF3vKk+Dos0y0mzHE1TaXcsHvvuC8TRHgCLacj0ZMb4zjGdzQGmY7KaLTm+cafuv3uYtkmr18LxHcqi6kexoTfHGQcRWsujNeig6hqr8QxV1+hu9us+oKPUWdPjwwlxENLd7LOxN6TcGdRjqWA1W3J684De7ibt8z62YzSfkeclmq6ynFR5r+1hH83QiZYBcVBlEHv9Drqh0x322Nzr0GqZVb5zWu1jPA55/rmX8Lotdh/eQdc1wlXMtW+8Ul3XsuCxtz9Bu2uT5yXhKubGN7/FvXTLZO/yedyWQ7hyWYyqvpvXebNREFEWBYqqUhYFjm/jeDZuy8Iwqz443Gk3ecRZWrCY+ngdv/mM9RiJlgEAD3/3o3R6dvP+NMkJlgnjgxGDvQ3afRfXNVAUWNa5u+OjGavZko29DQxLZ3Y65+T6nWasbV7YYbjTbcbmbBJy7RuvnMlb3X30AoPtbrO/2y9eY2N/h91Hq39xC5fhmXzSdfu8NmO1LEra/RZq/TCiKGExrTKyT28e0N0eVpnDs0WVIT1sN9nT88mK0+KEjb0h/c0WrmuiqDS53lDloKu6SrCIuP3yDVqDLqZtcfvFawA88tbHGbgGmlplLC8mK9Kkyh6+93xHtw7582iGwbnHLmC7Jqqm4nomjlfNsWXZYnLUJk9TTLOaw5bzmHAV0+pWObK2Y1KWJY5noKoKq0VCGmfNsRy/ehun7XPxyYu0u1X28XQUcO3rt9nY3wFgsNOjLEomJzOKLMdwbAzLbHKFw/kSr9/B9h1s1+L84/t4ftX31j8/XM5jXvrTl9ENnQtvukC775LnBfPxOtNab9pmdjyiyHP6O4Mmr74sfBzPpNNzMAyVNC1YLRPiMKEsiqa92sM+rV6VJ97ZaDMfL5r89TiI6Nb5yUVekCQZh9cO8DotuptVn+ttdVEVBdM20A2VPN+nyIsmr9v1DGxbJ8sKxqcBV1+8xvZD+1iu1bTparZEUVTyNCdcBk073dtfvX4Ht1VdozTJWc4jXrzyPFDlqPe2h5RlQbwKWYwmLEYTbN9rMsDD+ZJid5POoEUcZ4SrhJNbI8J6/Pq9Ft1BG9up8s+TPCdcxURBdCYXfn08hmWiqCpuy6M37AA097Ikqs4rzwqObpycGX9O26+vn9Fk8sPdDGxV0+htb+DWdQKyNGd+OmvWIjuPnKfd97FsnShMefX5m2zsbdDqOM14mx5PKYuCvCgosqpNR7cOGV7YBWBrfwO/bWGaGkVREscZi1mE23Lx6/utaWqomgKoKKqCZVuoutZkdptOVQ9CM3S2zm+RbvWr/Ouy6lu7l8/jtRzcloWm3X3AqWr/+x92PrDF8a/92q/9ua8risIzzzzDM88884bb9Ho9vvjFL/65+3nyySf5vd/7vb/SMQohhBBCiL9dvm1+cyyEEEIIIcSDJotjIYQQQggharI4FkIIIYQQoiaLYyGEEEIIIWqyOBZCCCGEEKImi2MhhBBCCCFqsjgWQgghhBCipkyn0/JBH8S3o195ts3LL05ZTAOuf+MqD33Xo/Q3W03wdBxlzCcBt1++SbwKmyBrzTDYe7QqZOK1nTrwPWJ2OiOJYgY7G02Q+a0Xr9PdHPDwd+zh+1VI/HyecPuVEwAOrt5gcG6bjd0+ftumKMsmZNwwqwB627e59eJ1Ni/scP6RTWxHJ01yTo+qoP0XrzzP4Nw2g+0ecZRy/RtXGV7YbQLGq3NJObp2gOXZPPQd53FdgyjMOLgxAuDOS9c5/+TDeG2HPM2ZjuYcv3qbwbltOhvt5lxtp4rNTpOcxTTkW//jxSbA3u/5pHFKWZaYtollG6ia2hTfmJ3OMW2T3rCN7VYFIKIwZbWISOO03m/K/GRKtFyx/dA+nY0WqqY2RQOqbTKioCq4EQcxhmXQ6t4NbY+CpA7jr8LGp8dzNENrCrfkacZismR+OqbIcrYf2qfd98+8P1gExEGE5dp10L2BZenYdeEVy9JRNQVV4UwlxiyrgsyjKGM6CpidLupCKh6WrZPWIfIA/U2fVqsq4DKbxhzeHNPu+02BAEVRSJOcKEyJ63D4OIhZzlb0t6riNYals5oF3HzhVQbnttm5uIntGmRNAZmMNMkIFiHH1w8wHRvHd/E6HgCOZ6FqKvPxkuV0wWBngK5rTE5mTaC/ZhhV4QXHRDd0sjTDsk06g6pogNcy0VSVOM5YzqPmsxfTJcev3gZg89Ie7X4Lw9TRDY0iL5iPl9x84VUAth/aZ7DTbcbNegxGYdrsz/MtWh0bz9exTBVNU0iSgjCszzXOicKMrC6ccuvF61iew2BnoxpHjkmSZASLgFa3uqaqqpDnRdO/dF2lKCFcxZzcOiFeRVieTbyK6vYPGextYVgG44NqDLf6XVRdZXOvKnjS7tjohoqiQFlWhUDCKGV8tADg+jeuNv1FUVXOPXaBzb0efsts+tDJwYJX/r9v8fB3PkKr69T9Mr1bIMbUSJOc+STg4JU7TXGIdYGH2dGI3u4mD3/HPu22WbdlThAkzbkapoamKWRZQbBKCRYReV40hVlWsxWr2YJwXs0zhmNjOlZVHOCev9s8v41u6MRBDFAVIdCrgiZ5XlCWJYap19e+Kky0vr6aqqKoUBYQRimTkyWaprKx3cK29XofZT2eVtx++RamY9Hb6tMdeHW/MLEsjSwrmYxDTu9MMCyDPMsZ3a6u0b1FSwDcbpvORreZE1RNxbINFFVhNQvI84LOoIXXspp+UZYlmqriuDplWRLHVWElx1nPCSqqphDHBdNxyLUXbjM9PMHyquvX26oKNFiOiW5o6IaKaWpVsSb9br9XFIW8KMnSgiwrqqIw9ZyRRGkzrtrDPjuXtutiCSpRUM0RwTIiCmIM02gKVBnm3XIH4SpmfDBifjJu/s7rd7j0pqr4y2Do4ro6eV4yHke89D9epbfVx23ZTZGKKIgpyxLd0KuiUnURoKZvWTp5XjA+mnL86m2620O6m128lo3rV/3Rdav2TpOc+Szm9M4Et+WwtVvdt/yWgWEolCXEcUEYZIRRSrhKGB1UhS3Wc9S6L2qaduZab+zv0K7nqXAZoWoqrZ7XtEdZlOR5QbiKGd0+bQpm3Mvrd9jYHWK7ZnW8ccZqFjCqx3+epuxdPk9/s7pPjo/nzbz2Wq1Bryng4racpkjPulhXHGWc3Bpz+MrNps0AbNfEdqrrGUcZwSJidDBmenjS7Lu7PcRtu2iaSlGUpEmKbujNOkLTVbI05/T2CbsP77K53a6KKGUFs0k1v926etDsUzMM2sMe7X67GWt+uyo4k0Q5i0VMkReYtk4SZRxer96naiqDnR66rhEsI0YHI2ZHIwynuq8N97cwTANNV4nD5EyhEoDhhV1aPR/DrPrQ0bUjFqMJ+09carb5d//H3bXN/wp5ciyEEEIIIURNFsdCCCGEEELUZHEshBBCCCFETRbHQgghhBBC1GRxLIQQQgghRE0Wx0IIIYQQQtRkcSyEEEIIIURNco7fwOf/wOf/vfL/s/fmMZZld53n5+7b21+82DMi18qqzCovKihv0IhesLr9B6JBmvlzkFjUiwSWbBDiP0YIjEDAuGlL3UjTSKOZ0diipRkhixmw1c3idlFgu+yqrMo9IjO2F29/7+7b/HFu3HRi6JZ6PJjuPh+plFUv7rv3nnN+59yTr158vk9JogTd0CvvoFX/fHg0ZvjoiO72OoYlvLyapqHqKkXls/XnK9I4obvZR9VUnIaN41m1j1TTVCxLw7I0FEUhjnN8P6ldt2mckUQJT+48Yu3SFrvXN1BUhShIKXJxDd3QcDwT2xae0CTKOX4y5fGb9wDhBXSbbuUPVSt3ZMZq7teeWYDL77nB2mYLzxN+ySIvCUPhrQz9lMXUJ0szHM+ufZ8n9w/ZuXkZgFavQZEXBMuQOEqIgwjHc2n1GoBwW2ZpzoOv3afZ77B/cxvL1kmSvOqriOHTEbqhM9jt43omcZQ951a8/J4b2K5JWZTEUcp8NGd6PEQzhKtx9+Y+mq7WzspWr4FpakRhynwkPLLL2YLB7jqNlvCLXvTHhb81TTLSOGUxWTA/E57nret7tNeadV+NjiaMnpzQ2RywvrtWu0TrcVXFv+d5gb9KCJYxjmfSbAuXo6oqBEHKo7ePMEyDSzfWsSydIi/JCzGuhiHqIi9KVsuE2djHnweMjoaiv/sd1rZ7tfu3LEvKokTVhHNV9KlwHBuOzf6ty1i2wXIWcPjWg7otOzcvY1hG5aQ0aHddLEuv+gaSJK/9zJomXJihn7CYCJftbDipvbaW53Dpxf3nzlGUJWmS1+N84SX+Zp+toipkacFyFgDU8ywOxTyYDme019p0Bw0c20BRhbc49JPaAWvaeu1GzdKCOM7IsoLDd0+quZRw9eU9NE2My3IWElZ+YoD5aIY/mQPQ391k/dIarmdimBqm+czL668STg/GnD58Agg3qdNy6/M0Ow3cpl37xhfTgKIoUStPdpbmLMYL4iBk78U9DFMnWEUEi1DURrV+REHEfDjm0ktX6K41aoe2oiiUZUlRlHVbxmdLju49wW2LGu1tdHGbduUKT0jjjLIsCVdh3d/dQZv+oIHj6qiqcMWen63wq/vorTfr+Tl8OiVPc+yGXfuKhwcn5GmKqmusXdqk1WtiO2Y9n0SfLpkNJ6IudQ3d0GmvtWt/cBTEnD85Qzd01nYGACwmi7ovB7sDOn0PTVPwlwmT4Rx/vsLxXDb3hTe60bRI05yTw2ld1/svX2d9R7hOTVNjMY/J0pxWx0ZTVRbziOn5grPHwoPrdZo4notmaKiqQhQIR2ujI9Yut2ljmhpxnIl5rqskSc7RffF+wzK5+d49mm0DtfKaZ1nBcpnWa7ntGhiGRprmzMYB0/P5c+uv02owuLQBwOFbD/B6bXav7+A2rWc1bmqUYirWa01RPHt8p2lOlhZEYcr0fMHx3QO62+u19xzg9OCULE7QDINg9k19vb9dtdUliRKiIGJ2OqKs1qObr90CYHe/g+tq5HnJapUxnYQsJj6LyYIkErXxza7rC///X76GbmiUZVmvX0VeYJg6ra5Yly/Ww/ks5MndI7I0o7vRo7chxtX1Ki99XmIaGkmaMzyaMTw4ZX1/U/SXLda1PCuw3coTnuYc3Xsq6m/ls//ydXRDI4kSFFV4tvNqvbNd8zlPdOjHBMuQKIjQNLEmmI5JlmaspkuSMGLj8jaWY9bjUuQFtmPieGb9DFwtIqZnM8ZPT+s+aq/3ydOs9kv3dzdr33ye5cRBjKIqwgdvCS+4Vbm+dV2tnOGgKCJnYDb2v8XNrKhqPZ4XrF/ZqcckWkUoqkJ7rcnGVpNGQ5x/tRLz+exkyehogqqrYi73m9iugWMbdU0mSc5kuOLwnUPSOKHZ77C+u4ZZHaOoCkmUcnZ4zuz0HMOxsV0Hu+FUfW6hqConD49Iw4j1KzsYpsGyWhcW5xPcTgvLtYmDiDxNaa/3sGyzXlc+/Yln6/H/F+QnxxKJRCKRSCQSSYXcHEskEolEIpFIJBVycyyRSCQSiUQikVTIzbFEIpFIJBKJRFIhN8cSiUQikUgkEkmF3BxLJBKJRCKRSCQVcnMskUgkEolEIpFUSM/xX8P/8qdt3n5rxtf+3dcAaG/0cTwXyxUO1mbHRdMU8rwkiVKOHh7T7LRo9RrklYM49CPCVcj0eIjd8LAbLmmSsFl5GJsdhzTJmZ4vaPUaOJ5J6CfMhsLpt3N1gO3oKJU7zeJ50AAAIABJREFU84Ioyjh7InyIT+484sUP3qbddVAUhTwvKPKy9soWeYG/jHj85j2uv/oi7a5LluacPZkwPhH+4P1bl+n0PXRdJQpTlrMQRVXQtGd/dwr9mCiI6G106PTc2udZVE7d5Tziyd0jFucTDMcmDSO62+vsXt8CoNtz0HXRX2Up/LmhnzAdCR/m4VsPUFSV3vY6a9s93KZFkRWsFhHBUrhX3aZDq+cKd3GQMhkuiKOE9Z3KedqysCyNLCsIgpTR8Yw0zuist+q2ZGnOah5wfO+Q/s4G/a0uZVFy9407ABiOzfa13dqLqagKtiP8uQDBMubs8JzFaILXbtHd7GGYOrPzee2t3H/5OqEfMnx0RLPfxXQsTNvEaQjPcbPtYLsGuq4Kj64h3MSLRcJ8GlbH2JQlzMY+WZrjNe3KMSxcokmYEPpB7WJeu7SF5VocvfuYtUuiz7eurGPZeu1JjeOM+djnybuHAKRhRHujT6vXwvFsTNug1bZRK//wahnz4M0DirJgbXtAkedoho5p6vjVmCwnwtnb31mnO2jhNkzKEk4OxH0dvfuYnZuXiYOYLM1Y2+mzmvrkec7VW8J7ats6cZyzWsRkWY6mqcRRyuhInGM1nbO+v8XWXh/dUDk/WfDwq3fp726yGM/qGrZso651EA7irSubVe1Y6IZwkx68e4KmaWzu90mreRIFCVEQY1gGSSTctJqmMh/N6awLT+zWXhddVwkCMUd0Q/jJg6XwJS8mC3obXQZbLVxX9HuWFSwWCcOjWT1uja5Ho2VjVP7k0E+JKqezZRvkecF8tCTPc+E1NXVm52JNOLl/yO2PvEK379ZjFPoJaZKxGAuXd1mWbF/doNW2KAuYz0LOjydMjsV8z+KEnZuXWdts43gmcZwxOp6hqCq2I+q+1XOxLA1/lXDw7jHT4yGD/W26g3Y970dHY2an56xf2WHj0hquZ6CpKmnltY3CjDhI6rlz4fbdu30NAK/lUOQFq3nA2eNjsjjBcGw667167iVhQqvfotlxRV+vInRdo9kRXlTDFL7cKEjxVzGaptJd8+qaD4OU1SIizwuaHQfPMynLkvk0IomEx13VVQxTp8gLZqMl46NzsjQli8WYgHD0NrsNTh+fsr63wWCrVbu8dUOlLErms4hHbz9hbXuNtc0meV4SR1lVS2LtO3syes5vfIGiqjS6bTrrHRodD93QWM4CHr95j/aGWN8s1yaNU6bHQ/ZuX6O71mA+DTh9KHzLtz94E91QCfyU8emM5Xgh5qtj0qicuRcO8TTOiKOUIs/x2i6OZ1av50yGcxRFYW2zje0a2LaO64q25nnJeBTir2LW1hsUecnobMnRw2OSUKxNafjMH255Dpbr4LUb9WvT0zF5nrP34j6aphL6EXGUoCpq7a+2HQN/lfD2l96mLAs0w2D/1mUaLbuaMwnHD07I0vQ5n66iKhimXp1Dr73UWr2mJcynwqde5AWOZ1XPDZ08L5iMgtrhDhAHMa1+k956E0WBYJUwPpnVnvOL53q0CsjznEa3hWVbBEsfEF5ezTDYvr5Lq9fAMDXSJGdyJpzdAKZtoRt6lWEQMT0WLvuLcTdtizROSZOEJIzZurrDYKtd3+PodMHBN+7j9dqYtsVgu4/btEiTnNVcrNMX7vskTAiWYv11PBfd0Os5oBs6h2894NJLV7hyc4NmU0fTFOJE7Gfms4TpyGd8MiX0A9ymR3+rW2cITE7OeeHVF/AaJlGYMhku0Q2NZtvBa4i6UzWRoRDHGVGY4i8jkijBbVaeY8eschjEGHlNB9N+9vxNopTp+ZzF+Yxo5ddj0Ow/649/84vrfDuQnxxLJBKJRCKRSCQVcnMskUgkEolEIpFUyM2xRCKRSCQSiURSITfHEolEIpFIJBJJhdwcSyQSiUQikUgkFXJzLJFIJBKJRCKRVMjNsUQikUgkEolEUiE3xxKJRCKRSCQSSYUMAflr+Owbbf78L2aEvhDLL2c+y/ECpyXk+72NDs22EJJHYUaaZFiWTqNl1XL/sihJk4IkzSkLIYQvy5IsFZL85cxneiqCDtprXQa7Pbo9B8+r5PJVaMZ8nvD47hDDMmh3XRRVqcML4iglXEUEywBN05gNx3TW+2xdESJsr2GiaQqKoqBpSi2jT5OiDvC4kKRnWcH5yZLVIiCNU1ZTETxgWCbb17ZotGzyvGA5C7Edsw6yuDiHqiqEYcpyHjEfLWmvNVlbF/L3C4l8HOfMZxHBMib0I47uiUCKIstpDXoMdgc4nkWeF+RpTpJkzEdzALrrHdpVWIlaScE1Va1DKyxLQ1UhzUpOjxYEy0jI0+O07o+LMJIkKTBNlSDImE0Cju4Jkb5m6PjzJf2tAYPdHq22ha6rpLUIXQQqhIuAYLGiLAuuvHKdZsepxz3LCoqsoKhmVpEXnB9PSOO0bkeeFUzPJuxc32Z9s4HtiPdeXCcKc5I0J45EbYn6SeuAirIo8ecrFucTOpsDNvYGuE0LzzPRDbU+Jo5zlvMIxzOxLI0ozBidinE9+MZ9APZuX0NRFEI/ZOPSGptbIjDANFWSpGA6jZkMlxRFSRzEnD0+ors5EG3Z6OB4FpatY9s6qqqQpQVBIO4z9BOyNMewdGzHwGuY2LaObT8T82dZyWQS8+df/Dq3XrtJs21T5GV9DkVVaDYtLEu0K81KkignrQJDAPK8IAqzbwlZ2Lq+B4hAHdc1iOOMJMlxXQPL0jBMte73+Szm5HDMyf0nmI7FxuVt3KZdC+wd18BxNIoCwiBjOgmIwwRd1+rrqbqK45l1AIiuq1iWTpGLYgir4AnXNZ7VS1qQZRfjnjIb+5w/HRItA9b3t2j1Gpi2Ic6vQFFCHCTkeYGmqczGCyzbZOOSCM/wPAPTVMnzkijMmYx9HnztAbYrRPv9nTVMU2d8OmV6es6tD96m3bXRNJV2W1zHdRTSDMKwYDQKWS1ivKZVz/eyFOtZHGUUeVGFDxVkaV6HrViOieuZeA0TVRN1EccZSRWMAdRrSFlAkuZEQcq8CjN5cudRNf4q7fU+7bU2jbaDqqn1Ghr6MXFQBeNECe21Fu2+Vwd0AJwcThkennL7gzexLI08L1nOI44fndXzsd33UBUFfxXzzn94C6/XptlpiXngmBimCGno9D0xdlVwzzfP1SzNWS0iZsM5nfU2G9stbFvcR5qKgInTg3NGT074y2iGQZ6mNPtd9l+6RKNlYZoaRVESVf0V+mI+dHoOrqvX4xvHWT1PLoKcnt4/Iw4iVF1lfjam2RdBNrsv7NBoWaiqeA6YhoZuqHVwVVlAmuVYlk67beA6KrqukGWirUFYMJ0kJGmO5xnfFHQTMx+LUIbpcEYcRMR+iKpreO0mhmXQ6jUBaLRsbNdAUcQzJ44yNE1hsO7iuaJ2VE0hjguWy4z5NCSOM7I0r0NMXE+8PwpT4ihDNzS8RrXGVf316B0R9nP1JREEdH6yFHOzqs+TwzFFVnD5xU1c91nYVpqKvlhWATtiLS8xTBEqEqwixifiub0czyiLErfTJPZDsjhh7/Y1mh2xT8jzgvHJFIC17R66oREsI04PTvEn4rnmdlrkaUoSxgz2t7BdG8PU6yAq0xbXjYKULMtxPBO1CvwS9ZcyHy2ZnJyjKCqbV7fprzfxGmZdX8tlzORsSVmWmLZBluacPx0S+yIkZH1/izROcRoO3bUGelUXlqVzkUE2m4Tc+9ojNE3Dbji4TZdmx6VV7YO8ho5RPXuCMOfkyZx3X3+by++5QXcg9gGqorBaREzP52xfHtBq2+i6Uj8rs7TA9xPGpwt0Q6PdF8+ixUSEgqRJhu2YVcBaRKvfRNVUpmczpqci5Oj/+jevfMv8+s9BfnIskUgkEolEIpFUyM2xRCKRSCQSiURSITfHEolEIpFIJBJJhdwcSyQSiUQikUgkFX9rNse/9mu/RqfT4ZOf/GT9WlmW/NIv/RIvvvgim5ubfOxjH+POnTvPvW82m/ETP/ET7O3tsbe3x0/8xE8wm82eO+att97iH/2jf8Tm5iYvvfQSn/rUp+pfppBIJBKJRCKRSC74W7E5/rM/+zN+53d+h9u3bz/3+m/+5m/yW7/1W3zqU5/iC1/4AoPBgB/6oR9iuVzWx/zYj/0Yb775Jp/97Gf53Oc+x5tvvslP/uRP1j9fLBb80A/9EOvr63zhC1/gl3/5l/n0pz/Nv/gX/+JvrH0SiUQikUgkkv8y+I5vjufzOT/+4z/Opz/9aTqdTv16WZZ85jOf4ad/+qf5wR/8QW7dusVnPvMZVqsVn/vc5wB49913+YM/+AN+4zd+gw984AO89tpr/Pqv/zq///u/z7179wD47Gc/SxiGfOYzn+HWrVv84A/+ID/1Uz/Fv/yX/1J+eiyRSCQSiUQieQ79P33I/79cbH6/7/u+j1/5lV+pXz84OODs7Iy/+3f/bv2a4zh8+MMf5stf/jI/+qM/yuuvv06j0eADH/hAfcwHP/hBPM/jy1/+Mjdu3OD111/nQx/6EI7j1Mf8vb/39/jFX/xFDg4OuHz58l95X22v4OWXOwzPU8Igo9N3yfb6zCqXY7CM6A88PM8gaRSslgmeZ9T+SYDxKOTOG/d56buu02iatDsWWVYShml9nSIr0AyN5WTBgzfnvO8jL9ZeQYC8EgB21pqMT2acPT5B1TV6G8Jpqhk6SZSQRDG267BzYw+3adce0OODCbqh0V0TnsE4ymqH8OmB8Hyu762zttFE0xTafZfFZMX5wTE7N0XfrO92abUsFFUhCjMCTUVRFc6P56SJaMvlGxs0mwbttsFg4BBfauP7KfNZBIDvq+i6SrBKOH50RrQKaK912bi8U7e1v9mpnYnLZUyRF2zstLl8Yw0QDsTh8YK7b9zh9kdewXYMDh8PWU3F/0m4/r7LNJsWcZzheCbz0ZLeRhvbMfBXwoXquBq9jo5lgh+UJEnB+dMxafzMqbu2s47XdvEaJq6rk2Yl4/MVAHffeIfbH34Z78UtNFVFN1SKoiTLCuZT4Yw8eXTGzrVN2h0Hw1QpS2h3nPoeRqdzjt59DMBgd4Dvp2SZ8PTe+5p4XdU0tq5sYNk6ZsOqnZYXOJ7FxqUeirqPqigkSY4/j1AVhf6aqPULj3DeMDFNrfL6aqhaGwDbvUUUJCiqQnfQwPP6eA0dvXqfpik0Gjqeq7G97ZKmop03Xt4mqTzbk+GKr//7r/Hy97wHTRP3cXowpqzq1mu7TM6mTI+HbF69xOZ+H8sSntGLeZKmBZal8aGPvg/LUnEcrXKrCqfpYplx+GCM41ls7zZxbI2yEGMyORNfodq5uk6zadG8tcMLr+yiqgq6rtRe3jjOOT1aMDqekMYJm/sb3Hipj+tUnuRCQ1EUAr/JYOsVdEMjSXJM85nDeDoOOI1S1jaaWJZGq2OTfJPrO8sKsrTAsQ1UTUFV88pzrNUe48lY1Jll6cTLhIN3T4iDiK0rm/V1kijBn8xpDXo4DZsoSGpXanuthWHp+MuQOIjpb3W5fmsHx322lPt+yuN7I1o9D9czsCydzctbtZt1PprT2+iye22DF9+/R6Np4LkajqWgV6cpCtA1KHIFTVM5fnhCf6vPYEu4f21bR1NVFtOALM3xWg5FXqB8k391dr5AVdvYjo5h6BiOcKde9MViEuA1LBpNA1VRCIKMNM7q97udFsFsgW6ZlGXBwTfuo1smW1d3UFTR5+OTEdEyoMhzFFVh/PSU9Ss77FwVXnNVUdjZ77F/fQ1dF3U9Pg94fOeQnavb1Vwy6XZtbFsjLxw2dz5EWZT1uF706WS4queEosBymVXnW2E7BqatY5g6XtvDMHWyrKiduVn1p27oKKpKo9vGazdwW2Ku6rpWu8B1QyWOM04Op/Q2mqxV83lry8UwFAwdFAWSFOaKwnIp1pV2x8Zr6DSbBl7jEqdP5zz4yrtYnsP2tS0AWh0bTVVZLmPuf/UBL7z/Gu2uUzt+H9w5JvQDuhs9uNzDsixMBS6Wn+Njn8d3jrj5vn3RvkQ4zeMoq8+haRrBTLjU8zRlFkbolsn5gXDJX37PDRyvg+3odb94nnCI2/aFv17BNFQMXXi3D+6PiIOYtHI6z8cl3bUGzbZNu2Pj+ynv/MVjdq9vsb0rfMof+DtX0SrvfZIUbF1qo+sqbuVS3ttvCFd0VDA88/nqF7/K+77/faxvCLdus+kRhjZnJytOD87rcVUUhc6gW42nQZ7luC0X98pW7f+/WOMMU2PnUpu8KAmDlOm5z8mjE6KVX7undcugyA2cZgPHc2i0HfK84Mld4WvvbvTYvdKj27VIs5Kz4yV3vvQN9l++DkCj7eC1XVZTm0a3yWCrRatlkWUF4/OgWlNSDEunLEo6fQ/b1tm93Ksd2cEqYTFZkYSJ8F/bCtNzH8s1GawLZ/POpSZr6y+zWMQcPRqxmq3YvNSh0xU+Zc9V0TTIMuGuN0wdu+Fx+PZDGh8U3wpotW30vltnJizmEa5rolRTbT6NGJ/O2LjUo9G0KMuSIEhRqlwD3dDw2jbb+x0MXSHNRL8apo5mPFurvx18Rz85/p3f+R0ePnzIz//8z3/Lz87OxMZtMBg89/pgMGA4HAIwHA7p9/v1pARQFIW1tbXnjvmrznHxM4lEIpFIJBKJ5ILv2CfH9+7d4xd+4Rf4/Oc/j2maf+1x37zxBfF1i7+8Gf7L/KeOufg6xV/1XolEIpFIJBLJf7t8xz45fv311xmPx3zoQx+i3+/T7/f5kz/5E377t3+bfr9Prye+NvCXP90djUb1J7/r6+uMRqPnvjtcliXj8fi5Y/6qc8C3fiotkUgkEolEIvlvm+/Y5vhjH/sYf/qnf8of/dEf1f+8//3v54d/+If5oz/6I65fv87GxgZf/OIX6/dEUcSXvvSl+jvGr732GqvVitdff70+5vXXX8f3/eeO+dKXvkQURfUxX/ziF9na2mJ/f/9vqLUSiUQikUgkkv8S+I59raLT6TxnpwBwXZdut8utW7cA+Cf/5J/wa7/2a9y4cYPr16/zq7/6q3iex4/8yI8AcPPmTf7+3//7fPzjH+c3f/M3KcuSj3/843z0ox/lxo0bAPzIj/wIn/rUp/in//Sf8olPfIL79+/zG7/xG/zMz/yM/FqFRCKRSCQSieQ5vuO2iv8YP/VTP0UYhnzyk59kNpvx6quv8ru/+7s0m836mH/9r/81P/uzP8s//sf/GIB/+A//4XPWi3a7zb/9t/+WT3ziE3z/938/nU6Hf/bP/hn//J//87/x9kgkEolEIpFI/nbzt2pz/Hu/93vP/beiKPzcz/0cP/dzP/fXvqfb7fKv/tW/+o+e9/bt23z+85//ttyjRCKRSCQSieS/XpTZbCaTMP4K/rf/0GY8zcmygoMHUyzXZGu7UXtRDaNyyBYQxwVJUpDnJUVJ7XjN85IiL1E1BU1TWCxivvKHX+GlD70MwGCjga4r5HlJHOfkuXDdXrzf8Qw0TWV0tuTs8dnzLtRE+AnPnw7xJ3P2X75Oo+1gVF7WtPLQRkGCbmgYpk5ZloS+cGKqmlo7I0M/xHZttva6aKpwbK4WUX1suArZvb7B5qaHbatoKgRhwWqVcX4m/L+mqdFdczF0hSQp8P2U0E9YzoRn0TB13KaNpilMz1ccfOM+Xq9Nqyecu4qqoCgKu1fX6PVsDEOhLCGKcmYzcR9ZVuBWDsmiFG1MkpzQF67lyXDO8d0Dbr52S7id+y7ttkGzodJwxXi5VoGuQZwqLHyFySzn6eGy9ii6roluqLVrOk0KdEPFMNSqnSqqCmUJ83nCo3fP2L68hmloBIFw2K4WkfCkGsLHq+oqtmPU4xr6CZOzGYqq0Nvo4DYtkijj/HiCWgkf22tNVE3FX4QEi4BrL+/Qblu1DzIMcg4fjpkNZ9z+7itYlkael1iWVvtcs6zE91P8VYJhaliW+LvwhXv6zpfvUOQ5RZazd/sa2/s9dF1lORc/f/zOU66+vEev51CWZe0lNk2VMBT1FccZWVZgWTq6LmpnPg6Yns8B8OcrLNfGaTgkYcLoyQk3X7tFf9CgqH6R9vTpjNlwxq1Xr9ReaMfVsEy1nkerVUYQpASrhEbLwraFRzYI0rpP56Ml6ztd1jc9el0d23r2takoLpktcsIgR9UUHFvDcVQs88KrKnyoK79gPI5ZziMWkxVP7jzi9kdeAaDRsjAMDdfVK6dzQRzntU/64k9FUTBNtR6HJC0IA9FfYZhSltT1VeQlcZSRRGlVOwHHdw9qJ3SjaaGqz9qh62ItufCdFnnB5etdWg2Ni99LXvo5s2nM9Nzn7ht32H/5Op2+V49fWZakccbhO4dceeUKe1faND2NLCt5ehRUfV6wu9vAMhWWfs5oGHJy+MxfvXdjnU7Xqp3YZSnWwcUiJliJeWDaOo5tEMcZb79+l43LW+xd7WNZYlyLQvin0zRHU1XyoqjvGcBpNehuClVnWZZomorlWuiGhqZdnEOsafPRnOmx+MXr9Ss79DY61ZjZHD08J4kSbn/XZTodA9NQ0DRxfTFuwhnsBzn+Kqtr3XbEfLEsFU1VyIuSsqDyZyt1fwdB/my9m4dMTqf0NrtEQUxROZ37Wx1UTeXp/ROmx0N2bl7GsAxWU7F+qrpKb6ODYeoUeUFUrSWdvkena9f1FUVizWt3TFxHrC9xIm4kSQryokRVeG59LPKydkevFhGaptLpu9i2Xo/dhXvf0DVUTaHIS7o9k15Hw9BF/wCcTzIe35/y7utvc/3VFzFMnSRKCZYhrV6jrtPFZMX0dIyqa3TWuzRaLqYtnMXtro3niX9fLVPG5yuaHQfT0Or17WIeadWz8+IZeeGSL/IC3dAoipKyrJy6jk6nY9FoiHbZlkKWlcwXOV/6f97m1mvX2N528ZyL+SraNZllPLo74eTRKbc/cJ3BQPS3ZSoUJaxWOSfHK+5/9QHhYoXTahAuxLi1N/rsXt/G8UzKouT0yYTh4Snv/V7h9fU8A0VVyNKC1TJmer7iyTuPKLK8bqflOezcuISua5w9GVIWJTvXt2m0hOfddQ1sR0NVFLKsYLlMmU9DZufCJb2aLhlcGtBbb+J5Bma1bqZZSRRm9XzudCw8V4xvHBeMRhHv/MUjADb3N2i0RD5Cnpfohkqv72Dbz54nF6Sp8EavVgnzaUinJzzIvZ6439UqI0sLDFMlz8t67gK1ez6Oc85OlsyGC7obbbymVdc4VB51TbjPjw8mHL71AID3ft97abbFPkLXVTRNIY5zRkOfx3cOAfg//qcrfDv4jifkSSQSiUQikUgkf1uQm2OJRCKRSCQSiaRCbo4lEolEIpFIJJIKuTmWSCQSiUQikUgq5OZYIpFIJBKJRCKpkJtjiUQikUgkEomkQm6OJRKJRCKRSCSSCrk5lkgkEolEIpFIKmQIyF/Db3+xxcP7cxHU0HdwHA3TVGsJvh/khGGOaapEYc7B/SGNtovbtBg+nQIQBzHXXt5BU1XG5yuiIKHT92i2hWT8IkwgjHLms4jlLCSJUsrKTt/oeFi2TlmUKKqC65o0mga6LuTmAEGQMZ9FPHjzEbqhs3N9G4DTAyHEj1YBl29fxvXMWgSvGxq2LUJBAJIkR9NUVEWhKEtCPyHLCrL0mai80bJxXAOvoaNrCoauECcly2X6XL9d3EswW9Aa9BjsDgCwXZM0zgj9CNM2MSxdBEcYIrQkjjJ0Q8WyxesX8vE0LZiMRShFUZaYpkYcZWiaimFqhH7Cva8JkXkwWzDY32Zzf4Bpajx+55jv+jvX2N3UaTii7YoCYawSJeAHJdNZRhznWJa4jwup+NnJkoO3D9i4vMXZ4xPe/723ANjetrEthbwAPxBBKHEsZPsX4Qez0ZKjdx/T393EbTooqkq736hDBYJVwsOvP8JrN2n1m3XIgaIoGFVQR6fnYlkaiqpQFiVlCYah1oL3oizJ0rK+Z8tSMQwFVYEwEm09Owu588Z9Wr02uqGxudej2TSpSpjVMiEKUjRNqcdb1dS6LgxTJ00ygmWEYepEQYzTsOmvN1CqFIvH75xiuRa9jSaWdRGOkbOoZP3T8zmWbeJ4oubzvEBRFRotG9sx6roJ/YT5NMA0Rfu7A4/1dUfUjqWQpiWjccJ8FmE7okZUVSGugmxm44D5aInXdukOGvR6Nu2WhlmF9ei6GPssg8Wq4OH9OYupz8vv36r7sChK/CBndObz5N4RW1c2WVtv0GqJ+/RcFdNQyPKS6Szn4b0xq6nP2nYXEOEak7M5J/cPa1l9HGecnyyIgyrIJs2YDSdcfeUqjZZN4Ccc3DlE00T9bV3ZpNVzhfjf1sR9lc+WaFVRMIwqHEEVQQaKAnkuAolABJqUJSRpSZqWda2EQVbN0ZAoSLBdk3bHwbQ1kiinKMt6HjQaOpaloioiTGa5yonjHL0Kw7EslTQpWC4TLEun1RLrUhjm9ZrgeQaqCstlysnhlCzN2L26RqNhir7ICoanK/I0x7B0JmdzVtMlOze2qzHTCP2YR1+/T5HlXHrpCnle4M9XqFV/uU0X27Uoy5IoiDFMg629Lq2WuIZhiLUqzUrm85Q//j+/zA/89x9h0NfRq3zYpV8yGiUcP5nx8Gv3uPreG+jGs9CcjS0R1jSbJpwdz7l0tUerqRMnosOHZwGP3nrKldu79Ry4CLC4CBfSqj/DIMNfxfirmDiICVdibTMdk2bHI88LhodDFFWpQ5+Mak54DZOyLCmqCZxEYjwvrnHw7jGWbdHdaBMsI47uHfLe730Zr2HWIR+LaVg/wwBaPZc4ynhy9xiA3maXG7cG9Do6ngOmXpIXCr6YzpxPMu7fGRH6ERuXenie6Oc4zuo5nyYZiqKIEJS8oL3WpN116uCPi7rO85IgzJmOAoZHU+ajGcFswV/m+qsv0ul7ZGlOXLXZNDV0QyPwE9Iko9ES60scZVy51qmuo4oQkHmK76e4rkGjodcBPGLdK0n/CUGqAAAgAElEQVTTgjAUte06z4coRVFer+/Tkc/4ZMJ8OK5DPHTL5Np7r7N1qY1jaygKpGnBYiGeBYf3hvjzFfsvXUI3VE4ejZiejdi4vF2Pq9u0cT0Dw9BQVREwY5jPPrf0VxlxnGHoGmmWs1rEhH5cj2OWZrR6Dbo9F1VTWM4jTg5HdPotugOvnouep2OZCooCcSKClZbLpJ6LaZwzHy+ZnE1Y2x7gNCyabRuzChbzVwlf/eJX+a4feJVG0yRLC9I0x6ie4aqqkOcFq0VMkuT01kTQjO+nvPmn7wKwfW2b3ctdLEsljguOD2YcvnPIyx9+UdRjyyTPS8bnIoyo3bVRqvCTi/ucnq948JV3Gexvs3djE69h1gFqAL/wPxTfUkP/OchPjiUSiUQikUgkkgq5OZZIJBKJRCKRSCrk5lgikUgkEolEIqmQm2OJRCKRSCQSiaRCbo4lEolEIpFIJJIKuTmWSCQSiUQikUgq5OZYIpFIJBKJRCKpkJ7jv4b/9Utt/vzPR7zzH97i5mu32LvSwXE00sotO5lETM99LNdEVUDVVVotC9NU0fVnf+eI45zzYcDT+ycE8yVb13bZ3BUexmbTIEkKRkOfowenhMsVjW6bwW4fAMvSieOMydmM8dMh3/0P3kevZ2Hbwj8Kwmk7n6fMZxFFXqDrKqquUmTPXH95XhKsIuajBeOnp2y/sM/GpR7drnBDGuYzx/FqmXJ0MMWyDZwLh2WUMTtfMDoa4rY8Xnr1KqapoWoKaSJ8j1lWoCjCcxj6KaPjKUVZ0Ow0ADBtgzTJ8OcBbtOht96o/YkAmqYSBCnDoxmHbz3g0ktXWNvu0GpZ2I44rshLgiBjtYhRdRXPM2svMQhXbp6XlGXJYLPBoG/QaigYekmaiQ4bTwtG44QHb5+QxinttRbjkwlrO6LP211XOHQr92+a5FiWTqcr+sJzVTRNeGTDqMT3c0ZDn6/9u689Vz/rV3bobXRodx0c16juXbhG0zgjz0uiMMGfB5zcPwRg/+XrrO+0q9oQbQvDnOPDKQ+/eper73uB3noTEG7b1SImTTI6fY/lLEQ3NAabDdyqv8pS1F+WlRiVn7YsS75Jc0oUZkyGK0I/IliGFEXBYFv0hWZoxGHC5HSKYRlcfnGLtTUHwxCOUoAoKjg7WfGNP36Tret7rG13KYuS8ekMEE7tVq+BqqkkUcr4ZMpyMuPy7St0+q6oP0MjjsW42q5Br+fQbGi1vzWOC6IoJ6g8vXGccXowZjVdsr63XteXvwhxPItW1yHLCp7eP2P/5lbdVs8z6PdNHEs4uoOwYLEQY+L7CV/5w6/w0odeptGyCFYJpq3jeSZeQ/hINVU4QjVNoSxhsUgZDX3eef0dMc/SlNagh91waPWaOJ5FWZTkeUGwFD5byzawXJMiL1hMVsRRgmEaWI6oL7dhY1gajm3UbZ2OVjz86l0ALr/nBs2OW7ueLxzM5+chf/b7fw7Ahz/2Gv01C02FNBM+0yBIKaoxm419oiBm+3IfxzHwVwmrRcRqHnDpmvCS93oWmqYQRTnDU1Hftz/yCu2OcE8nac5iErCc+bR6DTa2W7TbRu3aBuFdzvOSKCqYz2OytEA31NqLeuFMLvKSJMnJsoKyKHFc0SZNU0iT4lv6wGk10I3KmdtwGD05xW64bF/bEa5jy+CV9wtHcLupouvCb+2HJVlW4rnCfRzF1Vo+zbj7jRMcz2aw1cQwNRxbwzJFQ9TKhxsnBcOzyr/asWlWdaEo4Ps5p8dLlrOAKy8M6HYMLEupnbpxAtNZymqZsJgETM5mjJ6c0N8V99kZtIW73dIxTFH7aZwThUntw+32XNodk6Ismc8SpiOfLBWOehDPIF0X7y1ysR7rhorrmvUamuclk3HI8cMz0jjBtC0Gu/16LU6SnO3dFu22jqYKH66qgGVVnuao5Pg4II0zGi2r9mIvFglHD8+ra+Q0O42qLTqmqTEb+yxnKwAG2726jhbziMlwzvHdAzTDQNUrf3XLwzBNLNfCsAzSWMzTCwd7o+XSHXg0GiaqKtaI5VK4fze2hNu36Qnv8GSaEQYZzbbBbBrz5c+/IcZwo89Lr15F0xQO759z7dYmGwODVCwzzGYpUZjjNXQWi4S3X3/A4NIAx7NqR7thapVDWKsc78KZfLFWhb7wCJu28LJfuLMv6v1iPs6Gc67c2qbXt3EslaKEMBTPtek0JvQTdF0lz0vm4yVxJM4LEC4CBpcG9Nab6LpK6CdEYcp8tOT04RNRO9vrbOwN6PW92qE8m4QcPxZj1uw2aLYdihLm4xVRELEczxlc2qifOa5r1tdUNYU0zQn8tJ7viqqwmAakccr6ThdFVeqshIu1XNdVDF0TmQaWSnHhZteUuj59P8VfJWIt8AwsSyetznPw7hmnD5+wdmmL/lYX3dDI84IiK5iNhSP7f/4fB3w7kJ8cSyQSiUQikUgkFXJzLJFIJBKJRCKRVMjNsUQikUgkEolEUiE3xxKJRCKRSCQSSYXcHEskEolEIpFIJBVycyyRSCQSiUQikVTIzbFEIpFIJBKJRFIhN8cSiUQikUgkEkmF/p2+gb/N2I6BbpnEUUoY5iyXKWpldVcUhbWNJvNZSJLmKKqCrqu0Wi6GIY6JooLlUsis22tt5sMxaZzWYnAAy9Lo9l3iqA/0sWyD40dnADS7Tbb2uvQHHlde3GJ4PGcy1NjcbeO4VdBDIYICvvHHX2f7xh7dQYssy1hMhHD9/MmQnRu7mLaB5Vq0Bj3a/SZFVnDvrVMA+pttbMdgOY/I0pxrNwfohsJqKcTrcZShqArdzT7DR0eE/i5gEoUpD78hAiyyNGN9bwOvaZPnBe21JqZtUFaJE5PhnOV4wc6NbRzPZD4OyLK8loQf3T3kle+5zdZel2bnFY4fndHoeKiKwvBU9Fee5miGRqtjo+sqZSmk/hehK6atc+9rh/Q2u7SaHVoNBccqiRKFJ8dCyv5//+9/wu2PvIKiKnhtj1bP5fL1PlEkfn52vGDvShfDVAmDnKNHIyzXQtVEOMd8XrJaxEyGCzqDFkkk+ui93/feZ6JzQ8M0NBpNA8tSiaKc6TLhzhv3RX/6IRuXt1FVhZP7h2iGQbPf4fDth8BVANJBA8PUKEvwWg7d7XXiMKll6YahoXYUVouYsycTDMvAMHXms4i5yN8gSwuSKK1k6ia2azAbB7z7+tsAvPw976G35jLYapIkLkUuAhguwhnKQgQGREHM8d0Ddq9voChgmQplWYUChDmnB+e8+MHbNFo2ZVESRxlOw67uISevAgnSJGP05IS1S1s0O04d9hCFGaeHE/qbbVzXYDaNGI8KOj0RFFDkJYcPx0xOxhiWSRondNa77L6wg14FSmRpznw0Yz6CvSs3sW2NF240MfSL+QqOBapa4ocwnWWMhj4bW416Ln74Y68RRilRmOFUATNAHfzwlT/8Ci9/z3vwmiazcVBfd+PKdr0mNLseWSrq2muYWJbGfBZx50ti7F/84G10Q6VQQNU0yqLEsAyCRQjAw6/eZf3KDsNHR3i9Nv2tNfIsr+8xTzOWs4DzpxGWa+E0LNpdB8vS+a4feBWA4ydT8qKNbeuMhj5v/cnX0QwDvQqTeOUjt2i1esRxzvB0yehowujJCZbncPkFEapSlpBlJbNZzPBoynf9wKu4rkEci3myWkTcfeMOACPHptW9jeNqBEHJ/TtDQASeXLrSxTRVHNfg7teP8ecr3KZXzxNV04iDGK/t0uq5qIrC6dEcgPXNFrajkVRrxPYL+ximQavn4XqidpIkZ227h6oqOJ6JZbVpNA3aTVHDnWZJWcJkofDo4YIrV1sATGY5y6Voy3QS4jYd3KZFEKRk8xjL1llfF/WXBjknRyvOnozYu7GJoipoqkJRrW1lCaoKjZaF23hWN2FUMpuJ9SEIUnRdZTkLUVSF/ZtbbO4PCFYiHGZ2Pmf89JRmv8vei7uYtl6F5kzYvf4syGaxSLAsjXbHxDQ1hqdL7r4hQmiKLMdueOzevESjZbNaRJzdOePae/ZRVBHgkOcluqHSXms9C1Vp2PQ3xfo22GjQbGh4jkJRiCCXIi9ZLEVaw2gUEgUpUSjWZF9VCJYxXttm/4UN0W4/4eDdY2an57QGPTb3N+gOGmxst6u+SHjrjQeURcnezV1avQanukaepuSp6C+126K91iJNMoaHZ3jtBoqqEAeivzYu9dBUldHQB8CwdBFkpcLZiXhtcLtNwy3Z6OukmcH5tOT0SAT1APS3+gyP55i2wUvv3abd0tA1hYbIJqLTNIkT8IMCXbd5//feFP3lanWgDohAjPk8rUJsYDoJuPvGu2K+v/Yi58cTGm2PrUsdwjBlOY/wGhZ5Lvq0yAta/SZpkjOfJcyBKEyfC85odxxUTSEMUjRDp2EZqFX4S3+zi2lqLCYBcZTS6nlV4NaK7Rf2q7mm8/gbjyle3KPZcQj8hDtf+gZ2Q8xFpapnx7PorTeZjVW2Lw/or7l1Pft+yr1vHLE4n7F9fQfHsyiKsg6QUVQFw9TJ0pzxcIluaIyOxtVzVqyz50/HJFHM9rUtgmWE13JwPRFsAyIMLM8Lzp6M0DSN9lqTcZTWbd3c77N/cwNFUZiOfB7fOaS91qn3Gd9O5CfHEolEIpFIJBJJhdwcSyQSiUQikUgkFXJzLJFIJBKJRCKRVMjNsUQikUgkEolEUiE3xxKJRCKRSCQSSYXcHEskEolEIpFIJBVycyyRSCQSiUQikVQos9ns2y+I+6+A3/t6i6dnJX/2xwe89L4dihI2BgazhXBumoZKlpU4jsqTJz6rRczuXos4Lupz6LpCFOYYpoqmKXieThDkjEfCkaqoCmtrDo6jYZkKpqFgGKALbSCaKjyTUSy8nONxxPTcx21abGx59X0EQc79O0PiIObSjXUcxyBLxX34q5jR6Zyjdx/z3R99lcHAwXNVVBWK6lZNQ0FVIUlLFAVsS3gNM6EBJU5Kslx4T30/I45zWi0TVQVVvXA656iaglW1NctKbEvBMpXn+lW0p8T3c7KsqB2Kpqlimiq6Jo5ZLjOGpz5nTya171FRFdI45fzgmK3rezQ7HkcPj2n1hD9z78Y67bbFn/37e3zfR2+yOVDwLNHINBfnmC5Vwqhk6ed02xrLVYGqKrWbeq2jUKmseXqaMxyGPH1wzt4N4X+1LJ07XzlkNV2wtjOgKEo2L/Xo9W3W+kY9bpom+m86z3lyuOT44RluU3hTGx0P09RIkpzQj9E0Fbdp43oGXuVv1XWVIMgIg5T+moPnaZjGs/4uipIwKplMEp4+ntBoOfTW3NqFCcJzrGpK7aH0VwmP7xyxeVm0pd11yNIC3VCxLJ1e10BRFYZD4RJ95yuHXH5xmzwvSJOct/7k6/yD/+7DrPWNukazXNSHqog2JylMZ2ldf62WQVkKP2sQpHS7No2GjmkoVJpPgjAnjgs0VUHTFPLKIapXY6IqCkVZkqUlUZSR5yVZVnD2ZEKwFH7g66/s0miYrFYJ29su2wPwrAJFeba8pblana8kzRXmvkqlVcUPCs5HMYap4Toax0crzp5MeOGVbVotMSaWqXB6FnN+uuTp/SM29jaIgph2vyl+buusb3g0GhpNT9RRlol6DyPR2Nks4fTpnKd3D3nlI7doty3yoiRNxLqSVH9alo5pivuN45zFPIb/l703D7bsqu97P2vt4Zx95jv27eH2pG5NLYGEQJPNKAwB4WAIsavsVxWn7JILhwpQhZ2QVKpI/sGy4wBlC8UmeS/BeS5eJJOA7RiBLBkjQEiIllrqbqSW1OrxzvfMZ89rvT/WuafVBiEJdfe93axPVVffe/faa//2Wr817LXX/v6AzmqfSj2gMR4ghKnrStWnXvdGbenFPpgP6ydJTfmC0XxOEkW3mzJ/soXKFWOTRkd2fML4aLl8RgI/jk07FQLSYb2GYU6/n5ClilLZo1bz8TyJ1iZvgCjK6LRjBt2IaiNgfCIwfeGL7HAcU+eOZJi/Jkn16LjnCtJME0UK1zP9S55r2m1Tca3VkChMOHboBa580xWUyh7FostlOwsAjFVyip4i14Ikk8ytSI482yOOMma3m3rrdFKCwCEMc048v8L0VqO3PTFhtIFf3Cf0Q9M//eD7SyPt1S3bauRKs7zQ5+ihY7zt9muRUhBFOa2WqbdBz+gCV+tFqlUP15UIYfpNgCjMcT15VtuIY0W/n9JaNT5+8NtPMrN7lmgQsXnXJrZsq+H7pp8Ao0NrysxBaeNT3rDtr+lTzx1dZv75E+y+7nJqY0bQ9+SzC1x5/XYAdu0oMlFXlLzc+K8S9CKH1Y4YtRMwY9uwGhHC/O6bZoIa9vGDUKEUeJ4ZB+RwKS7PzVgTJ4p+LxvVocrVyKbxiYBy2cWRkGZ6GGcgYSiHS7nsUQwcpBCj64MZo0qBudD2Gc1YEONIRZK7LPd8jp3W/N1fPWXaWKnI7OUzdFYH7LhsnG43oVBw2TxjfKdWEcQJ7N+/ytPff5o33vZ6mst9pCPZubsxbK+K1dUQ15UEgcdgkLJ5c2mks+04a35t2mGnmxPHZuwTQ6fqtiOiMGVyUwXXlbRbEZ3mgHCogT337HFmr9rF1l2TlErusMwF1YozqoskNWWU55pCwRmNZ763potv6kcpU57dnqI/yEf9dBRlvHD4NBObx5iaqTI+7lMKBJ57pt7iRNPuKKPF3ArZsavOWN2h4A/rXRtt717f9Be+Z+omijWdjmmvcyfazB2d54obdo/q0PfOrNEqpQmKkoIvcF1G7W6NtTlRq6147rkOp59fYOeVW3A9Sbtp2skffsTjXPCqV45/8Rd/kd/4jd9gaWnpxx7/u7/7O37xF3/xNRu23ny/2eV0EpEK++xgsVgsFovF8rPCq46Q99BDDwHw8MMP88UvfpEbbrjhrOOLi4t8+9vfPjfWrSPHBhGdUHOqlhFGLWrSJYsDHCUpSme9zbNYLBaLxWKxnAd+qj3H//bf/lvGx8e5/fbb+eIXv3iubdpwRDpnIYt5otflO4MmDw+aHAq79FW23qZZLBaLxWKxWM4hP9XkeMeOHXz961/nfe97Hx/72Mf4+Mc/Trq2ee8V8oUvfIFbb72V2dlZZmdn+YVf+AXuu+++0XGtNZ/+9Ke58sormZmZ4fbbb+fw4cNn5dFqtbjjjjvYvn0727dv54477qDVap2V5uDBg7z3ve9lZmaGq666ijvvvBOtX9tWiYHKOZVEPB52iFT+mvKyWCwWi8VisWwcfmq1iiAI+C//5b/wqU99ij/7sz/jfe97H/Pz86/4/C1btvDv//2/55vf/CYPPvggb3nLW/i1X/s1nnrKbJb/3Oc+x1133cWdd97JAw88wNTUFB/4wAfodrujPH7zN3+TAwcOcM8993Dvvfdy4MABfuu3fmt0vNPp8IEPfIDp6WkeeOABfu/3fo8/+qM/4o//+I9/2ts+i0gp9vc65K9xsm2xWCwWi8Vi2Ri8Zim3f/kv/yX33HMPR44c4W1vexuPPPLIKzrv9ttv5xd+4RfYvXs3e/bs4d/9u39HpVLh0UcfRWvN3Xffzcc+9jHe//73c/XVV3P33XfT6/W49957AXj66ae5//77+exnP8tNN93EjTfeyGc+8xnuu+8+jhw5AsA999xDGIbcfffdXH311bz//e/nox/9KJ///Odf8+rxGp0844geoLETZIvFYrFYLJaLnXOic/z2t7+dBx54gImJCf7rf/2vr/r8PM/5i7/4C/r9PjfeeCPHjh1jYWGBd7zjHaM0QRBw66238r3vfQ+ARx55hEqlwk033TRKc/PNN1Mul89Kc8sttxAEwSjNbbfdxtzcHMeOHftpb/dHaOqUkzI5Z/lZLBaLxWKxWNaHV61Wcdddd/GmN73pR/6+c+dO7r//fj796U+zvLz8ivI6ePAg73rXu4iiiHK5zP/4H/+Dffv2jSa3U1NTZ6Wfmppibm4OMKoYExMTI61AMNp/k5OTLC4ujtJs2bLlR/JYO7Zz586XtM13NVrD9p0NVpsxxaLRXNw0/iItUaGJUoFWHi1Sjsch105VWVo2E+UgcJie8sgyKJfMedMTki0zRpd3TQvy0JNLbNpSY/fOgHJRU/CGOp9oNIKCJ3Ach1JQYuvWEp4LrnNGK7RYEFxz/QxJYnQlfV+OdA6npwvs2FXjpjdvJygICv4Z7cC1xfMkBc+FibrGEZowkcwtw1/9uXkL8MF/diO1wGg+ep7H4YNdtIIdOwLKw+cO1xFoLUgzSDOjT1r0Nb431MWUpjxzLYgSQbfoMreQcPqk2SazbUeNRtHYlytwpAuUKVcKZ9VLmuXsvHIznusgJExtvoLBUNd3ZbHH8nyX2z94FZMNRb2YIKWmG3k8d8Lc7KZJmJ5RFFxNawCn5zLmT7a56Raj/TuIYLymcB144xUZ/V0B6Rt3EKem0FZaoF4/i+MIOp2YUsnjmQMn2TSze6T7Odkw9TC3LHhq/xzbdk6w59ptIw3jIDBqJ2mqWVoaUC77jI/7VMuS4otuN1cuaVpkEGm00kgpR1qiWSZIU8WJ51eoNkps3lqhXHKQjkDVzjRr1xU4zlo9F5ndXh1pgvqe8YX+QFMKBK4jiBPNpk1FABpv34PvSwo+DELNjl0/T71mMgsjU55Lywm1mketYmwXAiYa/lkaqADpdECugtHftDZ5AvS6KYcee4Fb3nE5tarRwQ1jzfyc0fk8vP8FrrhuB+PjBSYniniuQGu4bHd5pNWttdFOHR8rkeVQKebUizG+M9SATQus9n3GSimOUPQSj9CV/LfPfhOAd3zoFm64tkDgG23k6/aWyFSFTBl/BTgxrzn+3DKzuyfYsfsa5k73OHXkBBMzRvN0+44q5ZKkHECcGI1TZ6jbHYbm24Ri0WXnngl2Xz5BEDg4jkArTatj7uPIU6eY3jrB9HRAtSJxHaN5G04ax+huKlMoSAoFiSNB6QKONPW8pj0tpdFXTlKjr1woSGoVFzVs772+4uTxDk8/epib330Dg0HC4w8+zs3vfROVivGdPNf0ehkPf/0Jbn7X683v3Ziwb/q208/NMTU7RblmtLL7vQxvqMvc75v2+MLh0+R5TlAJ8Iseni8Zb7hUjZQtRV/hORohTN+Q5oJBLFltG0Mf//48m2cbbJ8N2Dzt4LvaaKnGcqTpXCg4FAqSq66ZwpFQr0m6fc1YxZR34OcUXfPzXFhEa82ey8qM12CpObSjWODIM21ed22DXTu2Uq9oGqWUgmP8z5EKR2iS3CFvSJZ7Pm+6cYrnjxpd1VYzojFWZNdldXbsupb5uQHbd1SYGHepVk15PvrtVU4cPsrM7lmmto2P2mGjYRq0P+WNNGXXtFzbHUhSh4kpo2n/tn9yy9AeQankUC4Z/WAhnGGfUCCKNcurKd/7xpNMb5/B9RzCfoTrGTsa0zWmtr0erTR5rikGLje+9TI2T5s86mVFyc9QShCmDlEicB3NeM2UValotKylNG1OCJACXEfjOnrkf1pDmkniVNDpaY6fGFCvGx8eH3Mo+EbLNks1g16EdCS79k5SG/ZdBd/cpxCmLIKiRAjBw397EIBrbtrL+LhPvWrGGUeujWeCTXWjLV3zI4pOjEAT5QUcoWhWAvbdtAeA5w+fZtu2ClveUENrcB0P19E0u0NN59D45c03jXPt625mfjGl2ggI+wmNuimvcuBw1R6XgqtMO5QShSIZfqvfjySLq5pKSVCvCipll6UVwZHDK2SZ8cvLrpikUnFxHaMbX6979CdLhEP96pkdE8wdXWbueJMrX7eJ8YZLqWj8BEz59ENotxUrSwN276kzVpeUixrP1UOf0UY7OxV0+wIpBWmS024aH9+0ucLb/tFelDZa0YuLEfWGz1jdOWuOtWnKYXoywHWCYZmB7525Rr0MelwQp5J+aMqw4As2zxgx5C2bp5E3TeO6UPCM3wgB2TAOwZr2ve9qfE+bchUaKc01tBbEmaRUkJRLDa64oo7jrM2HykMr25wLXvXk+Fd/9Vdf8lgQBPyH//AfXnFee/fu5Vvf+hbtdpuvfvWrfPjDH+av/uqvRsfFP1CA1lr/yGT4H/Jyada2U/y4c18rz6YDNiU+gnOft8VisVgsFovl/POKJsdjY2OvajIphGBlZeVl0/m+z+7duwG4/vrr+cEPfsDnP/95PvGJTwBmdXfbtm2j9MvLy6OV3+npaZaXl8+aDGutWVlZOSvN2iryi/OAH12VPjdonuh3uUyVqMpX/dxhsVgsFovFYllnXtEM7td//dfPmhyHYciXvvQl3v3ud//ItoXXglKKJEnYsWMHmzZt4sEHH+QNb3gDAFEU8d3vfne0Mn3jjTfS6/V45JFHRvuOH3nkEfr9/uj3G2+8kU996lNEUUSxaF4VP/jgg2zevJkdO3acM7tfTK41B9Me1/lVKq9+Yd5isVgsFovFso68otnbZz7zmbN+X1lZ4Utf+hIf/vCHeetb3/pTXfhTn/oU73rXu9i6detIheKhhx7if/7P/4kQgg9/+MP84R/+IXv37mXPnj38x//4HymXy3zoQx8C4IorruCd73wnH//4x/nc5z6H1pqPf/zjvPvd72bv3r0AfOhDH+LOO+/kt3/7t/nEJz7Bs88+y2c/+1l+93d/97xsq1gj0YqDaY9btcc5+ubRYrFYLBaLxXIB+KmWNs/FxHJhYYE77riDxcVFarUa+/bt49577+W2224D4KMf/ShhGPI7v/M7tFotbrjhBr785S9TrVZHeXzhC1/gX/2rf8UHP/hBAN7znvfw+7//+6Pj9Xqd//W//hef+MQnePvb306j0eBf/It/wUc+8pHXbP/L0Vc5T4Zd3lxpgN2DbLFYLBaLxXJRsG7v/e++++6feFwIwSc/+Uk++clPvmSasbEx/vRP//Qn5rNv3z7+5m/+5qey8bWymqU81e9xdbH68oktFoZV5C0AACAASURBVIvFYrFYLOuOfed/njkZRTwXDtbbDIvFYrFYLBbLK8BOji8AR6I+c1G83mZYLBaLxWKxWF4G0Wq1Xjbu8WOPPXbW751Ohw9+8IP8wR/8Addff/2PPeeGG244NxauEx95cEAndOj0FPWKpFLMyZSkH5n9w+WiRgCBlyKFJtMSrdcCc5giTTOH9kAyCDU7xwu8d1uNZlfy3z9nAg+89//6eWpVORRyN4EDFhaTkZj+thkXraHV1bRaKceeW6U2XmLLFhMIACAMFXGcI4RgYa7HUw8d4Lq3X0e5YkS3XVdSqbgERXMdgP5AcejJ5ZEI+fbLJnjmydP841/aQS1Q+G5Omku6oRE6PzGveeFoh3376sQJlAPBEwdabN9RZWbKpCl4miwXLK4o9j86x+tu2Dy6HkCtIggKmn4kOH4yoVZ1KRTEKIiDlNDtKVZXY8bGCpRLEqUhjhVRZBL1egmPfmM/1/7cNUzPlCkWHaIoZ2nRrMyfODJPuV7mne/aRqOi2FztUXYjhDAi8ACpcogzl2fmAnZMJ9QLEY7QrEYmQEWaS+rFGEdo7nvU5y3Xayq+SfNi4twjzSWpcii4GZ7M8aQpz0xJ4tyjE/kstByWV3MTFKVoyqM0/H9+KSdNFUHgUArEMJCFyb9YMEEdolizsJgwGKSMjRVwXTn0MSN6n+caMXzETROF0qByY+sT3z3CDW++nE3TJijH0krG4kKfPXuMov943Qj8m8AXJgjD0VMwVjcZTtZyhIDOwOGpwyFBycX1BI2aw2ozG/mX55lgBK12RqeTsH22hBzaFMeaIJAEBej0NPd+4e/5x7/+ZupVSZoZO1ebOadPdtmyrcr0pEvBN+WwuGKu8eT3T7J6epkrbtjDzNbKSARfCCN+D7C8krK8HNJthbz/vZPM1jvU3C6OMHloLUjxWYkbHD5dpl5W9CM5Ep0vFTSdvuDKrSEVLxrVs9KSfmra0gvLAVkOqy1TXts2CXxPj3w48BVaC1a6DosrilpFkitNksJqMx3WUU6S5LzwwzmufsN2JiZ8skyPfLzfT4njnHq9QK3mjgJ7rAXscV0THCFXmtVmzte/9G1uvf1GioHDYBg0IM8VhYJLrxszf2yFzbsmmZ2tUC3L4T2ZQCBzcwOOPPEC1926l+kpn1rFBFQAKHoKjWAQC1pdiCJNt5fjD/umdivh0GNHqU/WWTq5iJCCrbu3UKoW6HVM+WVpThIlTMw0KAYuvU7M7I4642NrARTWAjhookTS7mny/OwgRWv140jTJtbqPRoGJB2EmjjRlEuSLNP85Z8/xj/78BvZMdEHoOH3yZGc7DT46/u7XPu6MbTWbJtSbK11R77RTQskmcNkqU+qHE62ytQCU571grmfXDs8cqTENTtTCm6GwJSVKxWuUGRaEmYeSebgOYpMCZp9E+TjhVOK5mpCMXDIMs3C6Q57rhjHGwbk2f/oHLO7J9i5vUiWa+YXjb8kUU6Smn5ly5YS1bLpF/sDRb+fU6u5lIMz/Wyvr1heSXA9aYICSYFSehQ0Jcs0q6sxWmtcV7JwukN9rMRVV5qtf9umMlypUEqw0PaIYuMvyyvGnm43xfdN4JXpSY+llYwTx9pcd/3EyFdXWzmVsqRSEkQxzC+mhIOMat2UxXjDRQqT7sD3T7Jl5wRjY0WKRYk/DF41CBVHn2tRKvts3VYmzzXdbkY+dIjx8QKlQJDnpiwqZclEA5QSjFdNve2qLVEQERpJqAJ+uDyJ52gC35RnmkuKbs5kqUtJmo4kVoXRWKEAT+bkyiFVDklu/u9ELo8+YRa7rttXpBrkFBzTV/ZiF0fq0Xhxuulx9FjMzCafoGjsdRwTRGlhyZRpv5dQqxWoVhwKBcHySsbf3vMd3vRuM4dqNIw9vi9NoBhHjAJwrJHlMAhzVK4pFp3R2FssnAn4pLTpu44f63Ly2QWmtk1QKJqdtVu3VZjdLKkUjd+6UqO0IMkEzY7Jwx1uws1zuP//PM/rbtyO5wl6PVPeExM+jaqZy/QGmuWVjFMn2kzPVJmYMH1owT+Th5SmD/DcM+356LGYPFds21oc9QVjNUHRVy+6V2NXPzT+nueaYlHSqBo7/8kNFzAIyDvf+c4f+xHe7/7u7/7I39Z0h1dXV1+7dZcQzSQlzhV2sd5isVgsFotl4/KKJsd33XXX+bbjkkehmY8Salb72GKxWCwWi2XD8opmaj8pZLTllTMXJdT80nqbYbFYLBaLxWJ5Cew7/gvIfJSi9Mtu8bZYLBaLxWKxrBN2cnwBSZSimabrbYbFYrFYLBaL5SWwk+MLzEKSrLcJFovFYrFYLJaXwE6OLzALsZ0cWywWi8VisWxUXpHO8c8iv/OtFplycWVutA1Dj4lyiCuMRqJAg4BUuXSTAmOFAa5IAUGsjC7hkbkimyY0Jc/oAEaZS7svuSkYp+Q41CprusMax4GgKHDkGW3P/sBoeKappt1KqDd8KkOt0k7P2PHc0yssnVwC4PLrdlKt+uS5pt1a0xpV1MeKJEnOo/c9xhvfdQPT0wHl0hmN1+PH+4yNFbh8l8uO8R5aC6LcZaVnRAlPLwmKBUGlpGmUc5o9l5WWplIWlIvGfeJUMLeYMz834Jp9VTzXaC+uIYc6znGiURoKvqBaAtcx5w9iQa+v6fZzet2UlaU+KlOMT1fodYym5Ikjp7j+5y+nUTMayUkKvV7GseeaAJSqBbJU8d7bakyWByNN49nKErXcSAsKrYndEi3VoB2X2RwsU8lbFJLeqF4jv0pTTvHI8Rkmazl7GgsUpClPpR06eRVfptRo4eUxiVOkpcfoJOZjy7FCD4kiUgUW+1XueyjmdfsqTNbWdJAFz5+E5ZWEOM6YmSnhSEhSTbttHp4aDZ9GzQhZnjwd025F7NxZRQ1baxjmlEsO1Yoky2FlNaPZjPBcZ6SLGg1Sdl1WZ2pcUvRNuWstRvW+vKpodTJ2zvpM13PKhZSyF6O08bEkd0lyh37soBFEidFFXmwKsuxM3YaR0XCtN3xqVTnSaF7DczWOhHSoTdntG+3qUmCus6bbWQ6Mj0lh/KHVNoYOQoXWmjDM6bYjdu+pU6uY+l/TXz1+tIXrOeze0+DmqyJmiivU02Wc3JRn6gYcUztZHpSYrTXxRIYjciTmGqn2yLXDUlTjxEqR129dBuCHixNM14z/TRS7pMpjrlvlh8cEu7bCZeNNSk449A1JPy9xdLXGt77X4/rX1QgKmsXVM+11cswlSTW5gvm5iH4vZsu26uhbhEP7T7N4fJ7Nl22jMVHG8x1WF3s8t/9pAK59y+vZuauG6wqyTKOUJkkU3W5KHJtKGXRjlk+vsnJyntrUOLOXb2Xn7vqo7xDC6AP3+8amnbMelUCxqRoSuOnQRyWDzCdOHXItyHIx0sIG+OFRxfGjbaY2VRDC6G1nmeLEc0ssvHDa5BEnXHnzPlSmiKOUyZkam2ZKIy3bufmQSsVn2xYP14FBBEpp3KEm7/xiyqH9J7n82i0MBimlkseWzQVKRdOXAJw4FeM4gijMmZwqsHMLbK0PMCr0MO63qalVCtkAqUz5CJWjpUO3OAnAUj5Nw23j64i2HuMr3x/nln05E4HRQa7KLq5OCUWZ59qbcIRmZ20RXxi/yLRHO62RaUnd6+GKjIEKeKE5xkrXNIQtY6nRZ04lUSo5taCRjmCyYeysBAqBJs0Fg1jS7mqy3OjU+kYeGKWMFny3l6O1ac/VijvShW61UhZOdyhVCwRFj927AiYbiqKnkENN5iQ31291BSvNHKU1h5+YZ/eV0wC84WqXWjElyhySzGgqu1KTZGekXKU0tnQGEt8FKTVhLGi217S6c0olh3LJjBtpClmuqZZNHo6EODXjW6eXE8eKbjvm+UMnufqGnQBMTRaQjiCOFb1eRpoo+r2YJDE++2K97DwH1xWkqWa8Lrh+64Kpe7VIELfRQtIvjLGgNgPQcI0Obinv4KiM2C3Rp0qJHoVsQOaYcW9ebaEZldhbOY6fh2TSp0uduf4YaT7Ugi8NKLsDFJJmXCHOXHIt+L//zLSBX/7l7ZT9nF7s4EpN0VPEmeT503JUr64jcBwo+kbbO8mg19csLhkn/9ZXH+HW299IpeqRJopnDy/i+S7JUBz4xOGjXPf265iYLLG6GrJwYpVdV2wCoFYz91Ipm/F+cTHmh/uPM7l1nMnpykj/ulJxKQWSK2ZT6oUIpSW5FqTKIVfmXqPUIVOCpZZk//4mm7dWiGNFfahfvda/9PqKQwcWqTYCpqZL5LnpowCaKwOOHjzG9PZNaKXZc9U0U5MujhzqW0cmreMIHEdQDgSua3ShTZ+RMDHhU/Ch3VF0OgmuKykUHDZvMvoSv/ymc6NzbFeO14GlzK4eWywWi8VisWxE7OR4HVhO7eTYYrFYLBaLZSNiJ8frQDNLyaykm8VisVgsFsuGw06O14Fca1bs6rHFYrFYLjG0XfixXALYyfE6YfcdWywWi+VSYiVLeCxu086tnr/l4sZOjteJ5TSxT9gWi8ViuSTIteaHYY+eynm03+apXpdUqfU2y2L5qbCT43UiVorWi/WwLBaLxWK5SDkWhwyUkVrTWnM8inhgZZVTUbTOllksrx6rc/wS/MFXvgPSQTsOOC5aOmjhoMXweUIItBAgJBqBVBlC5SBASaP7p6SHkg5KSDLhEakCUeaxtmB8Tb3E1bUKmRJIYfRdo1Qwt2w0/46+0Of7X3+Mt/2TW9i93adaUrhSE2eSZsekOXEq5odPnKC9uMrMrq1cvm+aRt2l4A81lEPN3FxIFKbMbq9Sr67pJCuG0oJsmpQUPEXgK7bVWtSl0QlMMRqJmXZxRI7SktWkzpGFMpVAkeWCVtdkorTRr6xXNPUgI/AyFIJ+bMri1LLD/3vXN7npPW8kKHmUSw4zUw5BwRSGUnByQfPU4wu8/oYZCj4IIVBKs7b4ICVUSoJKoIZameb6SWrycByIIs3NV4ZsLczh5RFKOARJh2JotJCduG+u5/pox8OJ+4h4gBhWinY8tOeTF8po6SBUjkwjU7dA7hXJvQChjS5p5gVkTpHELY58o5AOcIfXTrwykVsmxSdURQBWoirPLxTp9jW+x0gzeHEp4chTRh/zTT+/g7G6JChofFfjOkZvVAhjZ5RKlluSE6ditm8rUClpo0+dQKc31J6OjZZwrSIIChrX0eRKjPSnlRIEBUV3IJlbzHFdwTuu7TDmNocurolUQKpdijJGouirEi80xzj0vMnD8wR5rmm1EqYmC2yalBR9xYtfiqzZnuSCpaZkaSWjFEg6XXPj9brHlikIfEWaC5ZbkoOH2rie0TFdPNVidvcE22cDxqp6pNk8iCRLzTMXmh4XVIo51WLGbHmRSt6iFBp9aycb1qHWpk6Hr32VY/xTuz5KuijHQ0sHJRxyxx/5BYAWAqE1QucmrXiRmDOghSRxikSiRK4dcu0wyAv008JIK9STOZ6jSHNJN/YZJBIpNFFijjc7ml5f4brG9/uDnHYrIigOtUSrHnmuyZWmtRryzP7nedv7XketKkd+tNpMWZjrsXhyhX67x76b9jI7W6ZUPKMlevRolyTKmJgqs3nGZ+/WFEdoNpdN3QdygNIOkS7ikOOJlAyXZlIzPjwIAEhzo7MdJZJ+eKadgtE573Rzut2MPFc0Gj7jDYegsJbO+GyaGW131zEazGtF/uKftYaF5Zyn9s/zttu20qiYTsFzNFob/eVSQVH2UraUlinnpg+L3RK1aJly8wSy24QkNgYWAlSxPKx7b1SHa+2cPD/zs1Zo1ycPqiTFGkq6OFmMHB5XjkvqBqP2nzoFIlmmr0pkymivFpwEV2QoLelmJZphaXiP5gYzJfGdoU5w7HB8QXLoYJObbhwf9ZFhbLTku92Uet3DcQStVkqhYK5bLjlIR1AqCmpl0058V+E7pq8CiHOHXuQQJYLeQBNFGiFNGwbYtkmwZ7JDyQ1HZeKLBEcY58q0x0rS4MEnSmyackhTaHVygjp8c3WVXJs8Xc9o4EsBuRJU8dlXrlJ2HMrGdVhuae7/ylP8/LuvplqRSHlGSzkMFWGsKAUOWmm6vZxazaVeNWnSFA4earNrd43ZTZqiZ/oE31FcXj8JwETvOP6giYxDU4fStNdRm16r12KZ3C3i5AkiS1gTjlauj5IeUueIPEU7HolfIfKrIztdlZrztEILSe74JE6RTJqxU6BHxzSCHJdE+0TK9AsAg9SjF7sMIonraLJc0OxoWm1T5p4nKZckriuIYs2zR9osnVxl6+4pAIKSR6lk/MxxBAVfIKRAKz3StDf98hk/GkSmvU03huOaFiSpYOtYyFShhS9iQl2im5aoDH3BlwmRKrA0qHGqWeDYyZR6zWW8bsrL94YxCyLB0qriyf3z7L1qiiBwyDJzrN/PKJddfE9QrUgKPkQxzC2Y/vi733iKQavDTe95Izt3lKhXzBjlDPsUpY1efhgLOj1zf75n9MDX9L7/6RutzvFFz6nQ7suyWCwWy8XNU90e+U/YJriUJPx9c5VnBv1RwBuLZSPjrrcBP8s0k4xBpvCl8/KJLRaL5SJCa83hqEdNuZTtOswly2Ias0A8Wrl7KXKteabfZ1nFXFerIPB+8gkWyzpiJ8friAbmooQdpWC9TbFYLJZzynKaciqJOJoqajjsy2qMYxcCLiVyrTkS9xGFV35OL8t4aLVFXRXI7DOTZYNiJ8frzKnQTo4tFsulx7HozL7Vlsp4bNBmvhly7ViZTQV/HS2znCuODPqESlHiZZaNfwxzSczRKYHTW2Usdym7DiXHoSwdZCYQWlCyD1OWdcJOjteZhSgl1xr56vsWi8Vi2ZCEec5S8qNa7qtpyndWW4x5HlfWAmb8AvwUEyvL+tPNMp4Pw5dP+DIkWtHMUlov0kbOUk2aa4LEIRASkQgmQ59ryyUK0i43W84/dnK8zmRKsxilbC3Z/VcWi+XS4HgUoXjpD6+aacrDqyl112V3UGKTZyfJFxtPdnvn/eO6TGu6KiPONZ0oY2Ul4nXVKpPOq9jHYTmvrCYpVdfBv8Tar50cbwBOR4mdHFsslksCpTUnXqG2bSvN+H7coey4XFUtMVsqnmfrLh4G5Bs2UNR8GrOsLnyU11gpHm232eIFI3k6y4Un05rTWcTBTko6yKh7Lm+drhE4l842GPt+YgMwF9pQ0haL5dJgIUkI8/xVndPNMr7f7vDd1farPvdSQ2vNc+GAw07IE93ehpsgJ0rzbNJfVxtORCFP0Wc1tWPnhaSdKL6/MuC+xRWejvt0huLq7TTjwaU2nfTSCWxmg4C8BL////0tYhgABM8EjFCuR+6Zj+f6bp2iDvGTLiLPADESGWf4RKscj9QNyKWHQqK0JFI+C23zSqheVvhOjtaC27fWaXguaS5pDcyCfrsnKBagEiiKngkAojVEmUNnYJ5rFpYVzxxeYWWuyezlM+zaVWWsJigMBbmlNKLZWkOpqCj7Oa5UaMToyXusOKDq9hBo2lmNaWeBsfYLuIOOuR2Voz2frFijV9nEotjMC80xWn2HSmBUxrNc4DqaRpBScDOkMILdUWZWxJe7HkdPKh7/3nGa8ysEtTJve8+VbJ02lyh6Z4KSCKERwuQ5iCUn5o2dzz/b4pabx5msZRRdM4CmuSRT5kTPUdQLEUv9MtfXn2Zs5VmcQRukS1zfBMBKfSdbjn0X0W2ZyAKeb6KHDAX8VVChuelK3Dyh1J3H7bcQWcpZUS2EQBVKpJVxOtUtHOzv4frCkwTDgBNohR4GiNBCoqVD5gX0/YYpi3yK4+06C6uSA0+2mNlcplxyqJQlxRe9LUwz+MbfvMD7/vFOZhoJvpOT62Egh8Sl1XcZRFAqQlAw/hEmklMLxtYTJ/rUGwWWFgdMTZfYMuPjOPCD/S0Arr66zsyEZqoSU3ITci1ox0WuLj9n/LN7CjfuIbIU5RVIgzqr1Vme725lpe8PbRQsrmrqVUEl0GS58dv+wPjFkaeb7Lqswe5ZSaVofC9TkiwXKH3mNZzSpr6zHJJUEMYQxeY+Cr4J/lIuKjxHD+tdkGZnzpfSnDdezVBKsHdsnrLqEMoKAJW8Ra113NRnmhh/rk6cKWytSAtVUq9EMFjGiftox2N1fM9I0H9q9WmEyonKk/SKE1SjZZwsISrWATiqL2M3R/CTHpkXsFLYwtcObuVNe/qM+aYtSaEY5AEL/Rpam0AYi22fZsfc1+ZJjZSmLNbKIc30WQE+jhycJ0tzLr92CxMTPo3qmSAva3XSHZggD2AE8gs+IyH9XJmynV9MeebJ0/yj23dy1eYOvpMR56a97pRHqfTmcKMe5Kb9J6UxWpWtALww2MrDh31u3RcTOCkKSHKXJHf52qkec2FKqkwd9UOYP92lWPJpNAqjIBBrAQ/aXU2WKTxPkiSKZJAxqwq8dd8UYzVGfYkjwZEmKM5awIw4k7T6DvWyYiyIqRcGHGs1+LnKflPvy88jW0voXgeURlQqqPEZY8BwlaszsRuhFdXFI8hkuOKdJubfsL3jeqhKg+7UZZxydrI9eYbCwLR3macor0hYmkRJB42g641zaHUrl48tAFCih9Q5iSyS6AKZdummJQ6dNv554lTC7Fafajnl8U6HkwPTHrNcsNUvcX29Qpqbfny1pfjL//4tbvuntzLWOBPwqVHVVAPTxpLM4fiipN1RXL5TjNrNIJY8/XxGueywbZOgUcoYC0Iqntk7nGtJlPtskyeo9eZwoi4iz1Ge6ZiS0hj/uz/DQ0sB7chnaSVHa6hVHcqBuYbnaAQajUApQZgMAzYMI1KUSg4Fby3oi0ZpgVImaEx2Ju4KSpu2HxQ0nqORQo+64VxJlDa+cVW9yOvHSngCfFdRL5h72Rs+jt9ZNJkNA3oJrSEze5uF1mgh0H6R3A8QKseJ+qO+Pi+W6de2EHpVGr1TeGEboTKyYo2l+mVD19DUomWcPCF3fEKviqOzUaCR0KsgtMZTMRpBLEvEukAvC1DaNMgw8zixUmSlZfrRoq+H7cbkUSsLSsUz42yamX7SfdEibT+E0/MJ42MetYoJiNEbaNaeM7dMaSYqCUUnQwqFEBoJONIkCGSEKzJ6eRmlJTvyIxT7y8g0Qmt4NvJ4NKrxbF5l4FbpZSXaoUezoygVzX2UipqCI7mpUcfPfNJMUykJaiWF7xr75XDOIcQw8Egm6QyDUAE8fWgZKQRKa666ZoqCL1AaxmrGx4OCGWNOL2r2f+8kaZxxw8/toFCQ9Homj4++79w8uNltFRuEU4OURt1Wh8ViuXjppjnz0WsLbpSjeUFGlDpt3lyuUHYvnVe1P4lmmvLdhRYpZ6++HQtDNJprylXWe1/2Qiw4sIHW0zTww07IXJTyc5NlZlz7MvzHobUmzBVSaHypcV6BGw1ywZPdgB/0i7QyB+246JeZoiRK8ffLba4Jakw4F7cijZ2NbRBODlL21a2km8ViuXh5phtzrnYBLKUJ9y81eX29wvbg0t6LfCqLWG7GFH2F/2NG5eNhRJrD66vVHz14gdAavrHib8gId+0k4765Nm+YKHLrtEa+XESSSxilNd0sYy7KaKUZnSxDJCmel+EOV40dAZ4U+FLjSig5Gb5U5DrEEZJJ5XKyXSPPXv0WJ6U13+90uDIos69UOg93eGGwk+MNwlKcEeUKx24Dt1gsFyG51jzXjc9pnqnSPNbscjKMeeNYhcolJuOVKc0T3S7Ppn1qxZ+8Qn4yilAadujyBbLubJ4YFDgVSdigC4JKw/7VkJVE8bZNPxsLTZnWtNOM+TDjaBKhO5q0n6PQJKnZUQJQ1fqseIRKQ5JrUmUSDIRCCkWicjSKlpK4WvzU7ym01hzs9RCe4uaLdIJsJ8cbBK3hdJgyG9gqsVgsFx8v9FKiXHM+Xv3PRwnfWGxyfaPM5fVLQ8armeR8q9mkm73yj5hORRHd/CeJ5J0fBrngwXZwUXzCvxDlfPlEn20Tku3rbcx55Olen8PdAUpr0gy6eU6QORQk6737ZsQzvQHCzfm56dJFt5p/Ebj6zw4nB69tr57FYrGsF093zq9yQKI0jza7fGupwyBT5/Va55sjnYy/PNl7VRPjNRbSmJXpwgXd3vBgOyDML57pQqo032lfuvKox8OIg53+htzi8g95oR/xzcUuqdr4tr6Yi8fbfwY4HaYXhbNbLBbLi2kmOQvRhZFxOhUm/PVciyeaA3o/xZ7I9STXmm8upNw/H7+mycKg7HAoOf9BOAB+GPocGFx8q/VHBg7L2aX3MedSnPB4p7veZrwq5sKEv11oE+YXz0OtnRxvIBKlWYovHZ1Ai8Xys8EP2xf2rVeSa55qh/z1XJNvr7Y41o/IN/jKVDvV3Hs856nWuenjl/OEx/ud8zZBXkokX1qu8RfNOlpfXK/EAbQWPNy7OPe7vhTtNOPh5vmr8/PJapzx9fn2RfNAa3WOX4I/+Mp30MUSy+UdTIQn0QgGpQncYfx3PzX6ryLP0K5HFIwRi4CCDkmlecqW5DgqJ5Mujs6RKidzPFJtvmjItEuUeRybF0yMSXxXs7dS4vox88GF5yiEMPuR40yy1JR0eorpiTPPNCtNxVMHlhh0QzZvn+DKK6qM1c5U6alFSBJFreqglGayATO1iKof4UrTSWfKpeZ2GYvnKfaXcbsriF4H4qHmp5QQlMkbkwwa22gXpoh0QKK8kVaj0pJB5jPfKdILBdP1HKWhGw71focmDSLoh5os0+S5ZvO0OT5RzZFS0w0dOn3BdCOn6CnSXLLaM2mOnUwJAoddW6ERpAgBzYHH336zDcDNN41xxaYOE36Lyf4xSicPo1cWUYOQNRFlo13tIOsN+nveiFA5XtzlxNh1AMwMniNYOY6IQ8gzVG2C/vh2qqcPmxtIE9LJrewvv43roocQeUZWqNApz+Ao4xuluEXsVTiS7+UqcRA/6pC7BVrlLQB85/RuSUPJzwAAIABJREFUJqsprtS0Qo+5ZcGJExG7dgZsmzJ1UvIzciWJM/MPoOAafwCjV/rI4xEzm4psmpQIoQljo29ZGL5NFEIjBXiuxpWaOJOcXoI4Nk/vO7dKtIZKUbF3bJ6xdJHSYBmvs2zO77UgSYwebKlC2pimW9tG252gn5lBJ8p90lwS5w7dyOX0kmD/Y4u4nqmz2R11ZqY9yoEe6ex6rkYpcw8Aq23N6dMh4+MF4lhx9Mgyb7p5hrEaQ98RrLY1risYrxlt3OePp7iupFI2eTz/fI+9eytM1OHK6RW2pi9QjJqIzLzqd6I+Mh6gvQKnt9/EROf4GQ1UQIY94+9aQRyh8xzh+VCto8pGxzgPqogsQcYDRJ4ikhiS2LQPAM9HFcsk9RlOVa6gqlsESQcnT5DKDAi56zMoNOjLGkpLEu3Riit0ItMnDBJJlBiN4mQ431xcjGmuDAC4et8YvieIE83JUyFhP+GGNzRoVIxME0CSCaJEIqXGdRjpgvZ6xrcu3+1R9DVRItBaMDsesiVYGrV/wPhAv2u0fl3P1H99ikHVaAR3/XFCXSLTDkku+OLzIf3UaLSvxQGolTQaiFNBt68JBzmVqnuWzjFAlAg6XYWQjDROAXrdhImJIkEBosT0IeNVhTP0ZYBWx+g21yqCsi+4Zkzy1k1d9oVPA+CfPIJaXiQfhAgpcGo1xNiEEVp1zPcdKqgQNzYjVI7fWUQVy4TVTVSPHzCGdttQKjPYfg2JV6baPIYMu4ihDrIqlulO7+VQdjUVP8YROZs4TRC3cVLThx6MinylPU4zr1CUEaBJtU8/NSocK10HKU3b9RyNlBo0JLnRrDbtAIKC0bdd6+EdqZkte7x5qkrJ03hD3dp+6tEZOMSp0c11pDkjywX9SHDk2ZBdOwOKBbhypsMWbw6A6mCRrLPKQ4uax7seKlcgJdo3Y5oqlEj8KpEsEeZFwtRFA47QrK0JZrnRN86V0WqXEpSCTtfY5nmSWkXgOObvWpt//VDT6xmnr9d9SkXwh32XIzVCaPKhpn2YOjz7bI9duyoUPPN3paERJASO+Si0Fi3ih21+u3aCermAFgKR5+Rl07GIPEd2VkBIdFBGqBzteHQ2XW6Oa02pcxqZp6AUeaHE6vgeSkl71E5kGiGTGC0d8lKN3C2ihaBXmjL+KYyW+pPz0+ydatNw20S6SD8r4orhx3CZz8lmia/87+O8+R3bqZUFnqt58RZd19EMspz/c7LDUjejXDoTy8CRIIexAbQ2GvDNDuS5ZrxxZuzwHYUjTVyFKHOR4oxfOEJRc7oU0j5OGiLj0OhBKzXq37RfQBUrhIU6PVWhHfkstzTDro2JMUnRU+TK+JgjwR1+QuUP27rrKHZXCuwrN1jtSAo+FDzTpwOEMYSRxvMEtbK5byGg5A/7aWk0oJc7DksrOdWKJCiac/tDXfdff0uHc4FdOd5gnLbR8iwWy0XEs92MJF//NZZEKQ53Yv78hZT/Z67MD7oe8TqveKYK/s9Kga8sFkjO0xvl02HC3y91CV/jPuxMaR5uudw93+AHYZkNvhD/isgRfC+qrbcZr5lUaR5a7lwS0SOP9hL6F8HqsZVG2GB0s4xumlP1Lr29UhaL5dLj0AXeUvFKmE8c5lcDvtndzhWpyxv0KbYQXVAblhLBX86XWE6c874MNRcm/MWJhMmCYGvJY8wDX79y2YJnupqHljTRwMPR2SW1avZ4XOHnVUrgXJyzfaU1D692aCYmEu/FjkbzTC9kh9zYH0yuWxv4T//pP/H2t7+d2dlZLrvsMn7lV36FQ4cOnZVGa82nP/1prrzySmZmZrj99ts5fPjwWWlarRZ33HEH27dvZ/v27dxxxx20Wq2z0hw8eJD3vve9zMzMcNVVV3HnnXduuHj1L2YusqvHFotl47MU5SxFG3cVKNWSJ9UY/01fwVfUDlrqwgzIT7Tgi6cKZmJ8gdBoVpKcA62I++fb/OX8Co802zzfDxm8xEpdM035y5N9/vq0ZgM+45wTEi15dLA+2tDngv2tHvOX2JzgaD8iVhv747x1mxw/9NBD/MZv/Ab33XcfX/3qV3Fdl1/6pV+i2WyO0nzuc5/jrrvu4s477+SBBx5gamqKD3zgA3S7Z77U/M3f/E0OHDjAPffcw7333suBAwf4rd/6rdHxTqfDBz7wAaanp3nggQf4vd/7Pf7oj/6IP/7jP76g9/tqsFsrLBbLxcCh9sXxAbEGDuox/nO0m78djBGp87MCF+eab8xF3L8oyNZ5S0emNKfjmB+0evz1/Cr3zTc50O6xGCeEOmd/p8Pfr7QumMrIevJoWCY5T3V+Pvlhd8DR/oV943EhyLXmaDhYbzN+Iuu2reLLX/7yWb//yZ/8Cdu3b+fhhx/mPe95D1pr7r77bj72sY/x/ve/H4C7776bvXv3cu+99/LP//k/5+mnn+b+++/na1/7GjfddBMAn/nMZ3jPe97DkSNH2Lt3L/fccw9hGHL33XcTBAFXX301zzzzDJ///Of5yEc+gtiAwtSLcUo7zZh0LqWXWxaL5VIizjXPdi+uiVWG5LthmcfjCm+p9Lih2DtneS9FGQ+v9OlnORtxnbKTZbSSnCQLWc0yGrE7+mDqUidSkh+EJW4pnpuPtS4ExwYRT3X6623GeeNYGHF1vURhg24V2TCzr16vh1KKRqMBwLFjx1hYWOAd73jHKE0QBNx6661873vfA+CRRx6hUqmMJsYAN998M+Vy+aw0t9xyC0FwJpzkbbfdxtzcHMeOHbsQt/aq0VrzVHtjP1VZLJafbZ7pZBedsP8aoXa4rzfGn7RmeCZ6bRq+WsP3mpK/Od2le5EHJ7mUeWRQZgN8N/qKWIoTHmt2ueChEC8gqVYcHYTrbcZLsmEmx//6X/9rrr32Wm688UYAFhYWAJiamjor3dTUFIuLiwAsLi4yMTFx1uqvEILJycmz0vy4PNaO/SS0NpvhUwWRgjDX9DLopNBMJeF5fE1zchCzYjWPLRbLBuVge+PuNX6lrGQe9zQb/Plcgbn4lQ+HkRIsZB7PxEW+1Gzw9ysSOy3e2HRyhwPRxtc97qQZ313tXBJqIS/Hc4OQbIPe6IZ4qfJv/s2/4eGHH+ZrX/sajnP2Bwz/cNuD1vpHJsP/kJdLs/Yx3k/aUvHp1e0oBBAC42tnAmv2VQHY7ce8pR4yFvxoHq+VA60B75i5+GVoLBbLpcXpgWI1hkvh63mA45HDF+cCXi9rvHlSk2TQTn06yqEVCzq6wtK8z6qWxN0x4riCGAq8atffICOp5eX47qDKtTpkA+6mBCBWih802yRaXyIt6ycTK8WxQcSOYOM9tKx7k/7kJz/Jl7/8/7P3ZrF2Xeed52+ttccz34kzRQ2mJFvWYFue4ilOJ+WkU9UoBO65gUI1Gt2IEyAw4MBt9EO/9FOe3EA/NBI/NBqVAB0kTkV2EidOWYljW9ZkWxMpUaQ4D3c+4x7X0A/73HN5RdKiyEteijo/QJBwz9bZ+6zx29/6vv/3bb7zne9w7733Tv6+e/duoPLuHjhwYPL3lZWVied3165drKysbDGGnXOsrq5uuebtHuKVlUrA++0e5cux1zk03ypC3loOebif8fnmOu1QEMpND4QYZ2Q65aG9COE85Fj820NT8y0P7lfkxmNUKNIM/HGvHBlqvK7m0QOVUHxeONbXCwZDyYG9VdGAfbsEu39tN1lRiYE3a5bQc5O3zvv3MS6+UBXZiDyDcZKT623aceWZboUphQtQOkelQ0SWgjUTkXw8DxfXKWuzLAcH+PHJfRxaKFio9VFiLDpfhFzoRhgrmG1afFX9E/nV51JA6GmcEwxyn/WhR6GrIiYAp85aHn1IMVMvWWg6AqXxpCXXHsOs+v1xrDDGAQJPWpS0zNct//ZLVYRfaTS58enkS9SWT2KXL6FX19BJihtna8swwJ9pI+cWULpAFSP83jL3n/+Lqp+SES5NMWWJEBLhX6ThvwFh9QxEMX53iY8Pv41wDozBC/p4+ZDJiisk0mgeDo5ihcIqH09nzA7OAvAb811GQYehbZLpWQ4sCB49BJHXQ40LOWgrybRPX3u8edrhHMy0PfKi+jwKBZ/6aESgHNpaukPJypqZCOoDHNovmW+W1P0CXxqEcNw7KybHRZ7UeMJQkyNa+SrxaAlv1ENk4zg3a6sCIEphg4g8nuHZ3iN04gJfVf3WzUKyUhJ6ljiw7FuQqE/smhSwaNYFxsDPX0nGfQdKCe49VEOMf+vKSoFzDqUEe3f7fPADe4h8u1G3haSQRKHAWhhlgnrkePRBhXVgxwN991yDdqzZ0+ixvzxFvXsG1V2BbHxs5yyEEQLYf/yfochg0McMq+TeMsvBWoTvI6MQ4fvYrA+jIbJeFZmRzXZV9GPjO5UCISeFRMgzpC4JgHvKpPrMGpzysGpcGMiUNEdL1OUq2otJgyYqsgyLqlhAqQWduqEzDlpV0vHgQQ9tqkIk1jmSHIoSFhYiZg/XiEOHsZCNC2Os9eHMmarIw1zbEgVw7z7YWO49Va0DrcgxzKu/1Ux/UgAIgHRUrQGeD2GEaXTod+7hpL4fgJ91VwBLUoa8edrwwEEPT1mascFunKgJEDiEL3E1gZQeSsKmVGt1ne/BbEciBQTeZjETseCjhEYKi6hXxoIDjFWo8S18XxCMC91EniVUmtAkqGQwmc+2qBKcRRAgohiKHFduSjMI38cvMkDwqnW8umqBSyA2nCJtyAyue258nGirue6PlS+8AIdk1usirUHZEqVzZJmzcS7upCKyBl9lGOdjZLUPeLIaO41Yoq2gNHDmfEG7HdCsC5R0RNVSjzbVP46qcIIUkBaCo69UffbYE/OEvkUbQVYIRqljNNLMzfrUx8sX0k36xxiox45hHtCoifH4LKrn1uXmGPd8bFgNyDTqkBFjbOUkqgVV25ZWkY/HUm/o8LyqmbSu5rXvQbtV/T8by6QdFwnRGuII5juw0KnaNNeQpBA0qmJGw1yR5jDfqgZPM9Q8/khEoR2DRHDizTU+9kSHhpdQyyu1KpWPNvvaGJy1rAjB64NzfEj1kfU6NFrVWrC2gh0X9GldOFU9ZxiBH0BUw9ZbIASza8dReVIVDwEY9nFFgVAKP6rhzcyTz+wnKqrxd7BcQljNoZrDjQRW+WgvIgk79NwMAOu6xoUlx2Mf38/RsocWlZTeMK0aKvRBIUhzuHghoTMbcflLaaEFi8uGfbsV9cAQeZbGgsA4wYZISXcoqceCRuiQwhJ5GiHcpBCJJzWeKZE6R5Q5k8oeQoAcF/LyArKwxcV0llaU04pKgnlvYmsoYappoSxx4LBOkJeKQgvseNPRVlBqSVZUaxiF48UyoT0XIYVgMBw/jydREjo1TT0oJsVtoCqakmvJ8bcK8tzj0AGfVt2yq729HugdDav4+te/zl/8xV/w1FNP8eCDD2757NChQ+zevZunn3568rcsy3jmmWcmMcaf+MQnGA6HPPfcc5NrnnvuOUaj0ZZrnnnmGbJsM+Pz6aefZu/evRw6dGjbfsvrecSfrMzy3fU6Xb19zXqimMYeT5ky5c4hM5a3hu/9kIop70+eMdd2iu0kx/IRa8X7L5Qys5YLeb7Tj3EFO2Ycf+1rX+PP/uzP+Na3vkWn02FxcZHFxUWGwyp7WAjB7/7u7/LNb36Tp556iiNHjvCVr3yFer3Ol7/8ZQAeeughfv3Xf52vfvWrPP/88zz33HN89atf5Utf+hKHDx8G4Mtf/jJxHPOVr3yFI0eO8NRTT/HNb36Tr3zlK9elVCFweMIRCEssDHWhaUlNU145iB2CV5KQP77Y5B/WY4bm5g9GurrkUnbnDZwpU6a8PznWL5jmnU15r3LJRpywjZ1+jC2cLzLOFXefZNv1ciJN7rjaEzsWVvGtb30LYCLTtsHXv/51vvGNbwDwB3/wB6Rpyh/+4R/S7Xb52Mc+xre//W2azebk+j/5kz/h61//Or/zO78DwG/91m/xR3/0R5PP2+02f/VXf8XXvvY1vvjFL9LpdPi93/s9fv/3f/+XPt//OncWoTwIQpyQyCJD6HJyhOocvGUb/FPS5lK5tRktgp8NQ14eBXysnvGpRkZ8E1rwRwYJu8Pgxr9gypQpU7YB5xzH+lMd9invbX6i5znM8k4/BgCrueZoevdKtl0PI2NYLArq3DlV83bMOH57FburIYTgG9/4xsRYvhozMzP88R//8S/9nkceeYS/+7u/e1fPpwQ4cW0lFSHggTDn3nqfY7nPD3sxK3prc2oneHYY8/NRxCdaOR+ZmYTvvCu6Zcn5LCfm5iSHpkyZMuVmOD4o6ZeWaFrdfsp7mDO2zlkz4OAOP0dmHD9cGr4vlCneiRNpwmNee6cfY8IdI+X2XkUIeCgu+Z/m1vg37T4ddWUsXuEEP+pF/Ol5n0Tf2Cw4Okiwd9ixw5QpU94/JBqeW71zdUmnTHk3/KSYfeeLbiHOOf7TpXyqjT2mpzWr+s45lZoax9uEFPBonPE/7+7xpZmEhrxywK+Vgp+u3dj3D7TmYjGNPZ4yZcrO8PRyVRVvypS7geO6zpLeuWP8F9ZKzoymia2Xc7q4c16+p8bxNqMEfKRR8L/s7fPFdkr8NiP5SB/SG/QeH8+m3uO7jUFpeLWX8Nfn+vx0OWNYTr0IU+48TmQ+rw/eD8qrU94vOAQ/yXamjsDJoePF1fefMsU7saZLeqZ85wtvAzuuc3yn4rwAp3zKoIlWPjW9VCXjbYh0KoWTHjqoIa1BWouwBmFKhBGEwKdrBR+ppXxrqUPfVO8hxsEzyz4fatZoROVE11ZKSy2AyBeYsQ5lMH6ptWPtWq0MeduxO/QnWpHaCOLQ0qlblHBkWnF6UU4ec9+CI/IN9aAgUBolHIXxoAb+OARkzu8yk17AKxNMVCfr7MV4IWFW6bsKa7DSI4lnOT+aY65l6YQpufFxbkNfWtCILNZBPdBIWf2uRlAtAIGs9EodglCVNAKftPTY1a7aRQhB5JXEvsYbK4E4JwiU4cBMJWe3ryMRwqGEwzhBrj1WRwGXKtlqHthv2B2vEa8uwrAPziGjiCDaEPkEnEUIiet3ic68BlpX2sZ5Nv7YIpRCtVoIP6ArIk6bmFOuzWkdgtdgprGfx1jkwfw8MZUupDfqYsOqEoyJmhRBg9VwL9ZJZsUiYTFAjrUjyzzlWE/wUlJwNutjncQiOdITHOmV3N/wOdxskKcR//JMj09+vEMttBjryMuqvT3lKm1h36CEpRlK5lse/XTzfTfwHP3MIysVraig7ueEqkSNa3kpYRA4FAa/HIGQlM1ZhnsfqT63JbXRMsKUOCFxQvLQ7CJL2QxHL1S6pxt6xu2GoBVbGqGhuc+hx8KWzkFpJK3HahRaIAVEgcVTm1rc850AbQKUBN+zRL4l8sxEB1lKj0HicWmp5NABn7wUnF90NOqS2Vb1W+qh4bWTitbDEVG2juqvVWNgg0aL0T0fZhjNMdM/g9+9hCgKxLjfxXjCqEYTd88HKOttgtOvYwc97GD8PaMhwvMRtTquM8vywSeJyhH17pnqO7TGeR7W28wN0GGDQW0XP115CIDHdl2gYbooq9EqoBQBONhdr1R6ZmM10UHX1iMpfYwVhIEZ/02Slx7GVhrP3jj2d5hKTp2tOiNNNIcOxYQB9JNKP7go4aWXqzyPe+9rsXveZ76l2d1IOOifpTFaqeZ5XCU7l7MHMV6A0gWFhe9erOOEJFDVPTITYpzAl5aH75VY5zBWkJaK0dj5E4eVxrqSDqWq9cxTmzq3wwTK0tJuSuLQEiiLEpfpHFPlfAgA4TBWURiJdQLG1zRi6I0Ey2uO+/ZYamJEmHQnWtRurEkspAQpwegrsuKdtVWytR9CsNl31q/WjRPiMB/QRxHDHq7IK139y4pVCaMJyiEOiTRFNZacBSknY8F4EaUXUYoA6yQOQWk8knEy96UVi+dJmnXBfQcDhABjHaNUcOFClazV7sQkSUEQeHTaHrXIUQ8tH3+yCg8wzpGXEmMhL6u2nZ/z8RSTuRb5lnrg2N12eDLDlyWRTfHzqr2Es9ggwtQ6VbtZgxMCK6vnzIlYGtZoRJq8VARepTcvqPoZII4qTfLQB+MLRomj3y8n+uvpKGdmrkatpgg8iOsOT1Z9vKFt3ggtrdiO90dH7Gmoby2Moa3CCEcYCA7dP4txrlrPyvEALAsQEtFo4aRCjvrYyyXDhOA1N8evBiM6foYzGpxDiPEa6gfY9hx5Zy+LjQe4lM7xmHsRlV2WPCcVwvOro2MpNjXPx6gyQY29odYLcNJjkTp/fSmisBu6z46ZVqUBrKTDUw4lLfE4B9/aSrNYCsE999SQgvE143tIx6F9EjVxxAmkcFvypVp1h6+qfhKAHO+hhRvrnIsRylQ6z7rWIQuaREUfpXPcuD2c9DFC0YpyhkVA5Bkir6zsCeDSmiTwBc2aQwqHko5aoIl9Qa6r39odSvK8Wg/eeOksDz52EGcd691y3GWal0bQkvMkqWC95nP/HmiFW0/Na4HlkYdiBgkcP5mze1fA/fu217E0NY5vMaF0PNnM+UF3s4TeiVHKQ40bK6n3VpawP9gqAj5l+xg4j9Omxel8hjN5k64Lq918XBDFGsW5ruV4ERLmCxxUKfd7KffXDAsB16y8pC28NVK8OvR4K/cphEJLruhG4xxvDgqO9vo0KRkyPXabsrP8SzegVwruoETyKVO2BYvgp2mT32TpnS/eBkoL37lQJeJNuTrraIZG0/F2dsGZGse3gccbBT/qRRRjL2thHaeTnMduQN8tt5Yzecqj9fp2P+ZtwTnHcmY4NTQUWqGEIpSCUAlagcMJS8N3yNtU3zOxkpO6ySk9yylbZ9UGlf618yrv0C95DOMEp4uQ03nAD1JJfaC4Lyy4t+2x169+6/nE8HxX8FY3ohjbuU6Kd3y3cTguZgWnZYa/KnlsJmZXEHAnvRQlxrCc6/FzTbkbuZhLXuxPt4kpdy8vZXU+JxU35q56d/z9asBy/s7r//sbx+kipRNOjeO7nlDC4y3D873N5n5zmPLobP2GJsnJPOFhG+PLWxsy7ty1PaHvBm0dF5OSM0nJ2cQwKB3aKvTGESmAcHjS4UuLFBZ/bDAHUhFIwVygOFALWYjkTS8sqVMcK9scHezidBFiihLMRvzXjb/RD43klSTi5SLAdD1sUJBoiK3EswJxg9+9VpT8eLWg6XncG9U5EO28pN/pNOXIcESmLUoI7i0DHuz4HGp4BLdZ5ss4h55qIW071sHfrQTjMIadfpopU24NpRN8L9/Fb3OK4CbW/3fixWHIq0N/egJzHSzqnMQa6juYFjc1jm8TH2tpXux5bETFDI3hbKK5r/Huu6C0jrfSlIdugfc4s4JjQ8WbueJsv4FxsOBpZkNoFLBGibLvPGCH2nIuKVjMci6mehzruxEH9c47bWkdhXU453AIzieal9YLYk9wqO6xr+az4Efv+D0b5E5yzLU56lqcdB1sHiJceEWM2HbhnCA1k4jJbaFXGn6W9TmqFB9sxTwW3/5VdqQd37845OX+5iZinON8lrOykvHCOuyNPQ7UIvbHPp64dYvbellycj3lbJqzp6bY4+4cjcy7ged7iqVimrM95e7nqG5y3jzAb3sXeOAWhLKdLzz+sVubSiBcJw44nacsNHbuTWJqHN8mmh482BS8Ptg0Kl7r5TdkHAOcTFPui2PibZhtK7njja7iTK/O+UygVYCVCm9c/vpc7nG2kJS5ZEkPKPSI+W5JO5B0fEUnkNQVZIXgfFqwUmZ0y8oT640TZ9Q22YipsRzrF7zeLxAuoyEigjxgwb/yaL90gmO2zRE3wwmaaCeByh3+XnaEpcbwi96Qs4XgY3Mhh5u3Zxq/NpA81c1ZywXXWjq0c5xLCs6MSpQQ7I589kURsyoEbt6lnBrDuTTnyCClVIY4rMbXxdTQy0Z8Zrr7bAvrpeDH6x4wVU+Z8v6g5wL+rDjER9WIXw+Wt63k1sgI/nKtxTTM+N1xocjId7DM99Q4vo18ZHarcbyUGZYzw8INlJsqreXNJOHJ+N0PntI6zo4KLuU555MSQUlceqiNLOvroDCOpdSwmFZv2caW5FrhoMqKvQ3Wp3aOi3nBMClAwDlPsq41g9Tn+GiBN/MFcnv3bu5DbfjJ8ogjPcmjnRq7/FsTzzAygr/t1jmiPXJ1/Su8cY7zacHZUYm1QzpeQNv3mI8lnUDR8BSRemdj1jjHhSzj5WyEXbY450iMI3jbG9fZPOXVrsej13+gMOUa/P1qSGnF9FVjyvuOn5dt3tI1/nU44NBNftdqKfneWouBkVOv8bvE4jiejPggO7OgT43j28hCKNgTeVzKNvUNX+3mfHFP7Ya+73Sa8oiJid/BD5oZy+qopFsWrOSa84kj1xI5ln65TY7HW4uD1ULz7KrmaFJHFSXOJbwfPF+90vDDpSENVXB/VGfvNsYkv554fG+lTmIl3ETenXWwnBesFAWns0qyyQGhlNSUR10q2oFiNlQsIAiVY7XQnBgUHOtrVocwMJaO++U7zHOrGU/OeDxy44/6vuflUcipVE038ynvW3rO508He3jCh8++SynkwsIrfckrA8XioIW8Q3R7t5uRtpwaFpxJUnwh2CdrzPvbGwZxKks5MRR8ZAfSbES32506+6/C//6jCwgcvs5QOp94VMWGZ9U5nPJw0gccTkhyv05BSOQqXV4rFDlRpVvqwCI5OYS/v7i1Csx/vqdDJDxef6PHww+3qY01TZ2DpFCcPZ8xNxsRBGAtlBqWl6p7HKo1+NVDczTrAiEgCg2JLVkrS1ZyzWJqOLtqmO9AIywQjPUhnWClX3ka75lL6JTLSF1gvZAkaHNh0GZXo9JzjEixQnEx6bC3to7BIzch/Tzg9Plq4t93wCfwDNYJBqlidd3QbimGo6q9FmYF8fh3pYUiKwSBt5mJXtPaAAAgAElEQVT+5ilXaTkbgacq46k3EngKmrVx21PF8kpZaaqu9QV5bum0ql3c92B3fUArX0YN1ysN41qD//Bsm//mCxtxZAIvGyCSSleWjaRGWbWF8wOc56ODOovsoe5lBOT4piprqUyBlQqtwkpTc/z3woux4/haARSusiR9UWKRlM7DE9UzSCzaeSQ6JFQaByRlwPpQTnRr1ViWNVCVZqR1gqQQlON1Nh4rzBlb6RkrWcVzZ4UkMj6H4xof2hOgTSW/OVPXCOE4vRRM9EYf2JPjK8tsOOBAdgw/62P8GoP6LjID3zq1j9QuEuqUUoX0TIu6lzLSMUu9ahFMM4fvC1pjrdKsFKz3LPsXNpq3ehFbXnPUYkkjrm5eaIEZTyUxFrRdWdXU6wrfFygpqEfVBYFncEBeKpJckOcOIQVRWP32je9rRoZmkLFQXOTfi6PsTVeYCKc2O+R77uc7o/+Mz+w7gUPQyNcnGsVq2Btr06rJuLBe1YeyGGtgez663sEpr9J/VT552CILKm3ggejw6vIeIt/x3KuG/+FzS7T0GlZI1mXVIKtZi1aQoK3H8ZUWjcjSDAtOrVS58ntnCubiBOMEgzzi2IWQMGDSbqFXncqsDxVP/+AiH//UHvbMOULPocf66Fkh6A0FZ8/nzM9X+tGLSwVrK9Wa8cQTM3geXFzSPPmw45HGcWZ6pwFYjPfx/5wRXChnyY2iFaQEIie1McZJfFmN4cVBDW1AG2jWKv3ZQVrN18kBhqjWsDSvrgm9sX7zZZrvpRYMRtVv2zVTabEW48/PXXLsWaiSdgcjaNWr8eRcpde7QVooLi5qDh9ytL0hjf4FxFjj2lmDCEJso41MhlDk4HlVP4/HhokaJLV5Ap1QqgjpDL7ZXPOl0UhTVIsvgDUImIwP64WTZFsrFYhKx9hKRaaqvJBuXqc0Y81pIyb9mI1jus9fKti9K5jI5XrKIaWr3k/GQ7jSu4W8rNo59g2edJPX/7RQ9EeCRgzhuH3SQtIfOuq16kvqkcVXlX6wFJZAahqmi59X66GTiiJsMaBFaRV1LyW0GYWsrJOhrhFITb8ISXJJLajWp9IKSl3dY5hs6h1vjAVzmY9Cyqops0pWl3pcrfdJvrm+zbUtvrTkWpFrQSvSeNKMQ+OgO/KphxYpHaNcMUxg36ym7fdp9C9Wwy9LqgGoqj7ZqE0g8moe4Bx4Hk55k0a2fniZTrmj9GJKNcdv7oWDdUUoc+bSc0g7dnAJgZ8PEabklI75RVrnjaGkHCeaW+lhpUK4amxo6VO4gJEOycuqceJAo41kpa9o1iqdY2s36x0o6dBGMEggGmuHjxJHXmzsrZXetLGCfiIoCkenJYg8Oxkb+rIxl+SKtb5lviMmdQoO1FeJ8y4g0F5M5tUonU9EimerTumLdnViPXAc62uW861FTATwoVbMAVWj2y2ZnQlo1x2BZybuu9JKjBU4VzlMrBMTPfNxkyNltd9Zu6Hn7/ji7gb7awHOCVaHHkffLPjYh318ZXFOIETVRgC/9tCQ7eBu8Bm+p9gfK9q+olduBv2/Ocx4tHljsTVLruBUlmKNoas1GWUloj+O9d0YMFPeP6zrkucGPZaVz8ONOgvvUhLnxBD+cRHOjHIWboe+0VW4mUqQpRP8+XAX/152acmpTvS74ekVQTpdM6bcAJmxvDYYkWnHgSDkwLZF7e4so9Ly3fMFH2x7fHHX1nVpoOH1Xsgrg5hVG2Clh7jLqthqC28lgpeHGWcTw7WEgRzwWj/lrCo45CJmt+n+zsG/LA/5jT0tZoPbl6A3NY5vM0IIHm5GPLu2WWXn5CjjofqNhVY4HEeTIaEPiMqTJqd72xRgOS9ZzLrMBB6tvgUBq301eUs/ZjVKOupexkwZosoGpQo4cxes7QOr+P+K/fy7+lkCcRf8oNvAidSbloieckNo6/jxeo+Brl5Gl3XBBZ3zRLtO3bvN2o63iKM9zcXE8m/bEmMVrwxUFX6kFcKZuyoMyTrHucRwcuA4PlQUVsB1qnj0jeFVRuSp44na9sQLa+t4enHAv9rT5naZrVPjeAc4VA94uZeMpb5AOziZZDv8VFPuVrqFJsMicHTLy843c4MSjqFnSLVEag8n1U3FFt9JLNqQb2d7+a+iC3fTvnVLKCx8by3eDkGRKe9DftEbTQzjDRaLgu8vFxxuxHygVsO7TYWdbiUD7fjLSz7CjSeKeG8lrTrnKK0ltYbVwpEZR24cF3NHWUQkRjByiqVCk0y0/6/db/OhZF/sc2xQbKn654BjacLqUsFnF2I62yB+nxnLDxYHPNm8Pd7jqXG8AygheLAR8VJvM/b4xCjj3vfUNJsy5c7nuG7w/XyBL3FnJcUMS8tP1/o8OR/RvANOn3/Yi+hpuW3GsbaOl/pDhtpQlx73Sp8DdXXbKl9OuX2cGuWcHOVX/cwCbwxTTic5jzTr7A/vrCqfdzsjbbiQlpxLSgZak5nNGHXSt199fQtRy5ccjEMebktavsIi+GA74KfLGaeTrevsaqH57oUBH52J+GDr5he6gTY8s9Zjwd3YSfu7YWoc7xAfaIa80ksnAzWzlr4/XTSmTNluni9nmE0THtvpBxlzKTV870LK+TRgbTHnCwR4t6V47TWeJ3O8MNje44IXewPOZ1Wy6iqaM3mGvyrYX/PZFwXsjYKpoXwXMNCG5y4LEQS2JliNyazlxd6AU77H4+0GTTU1PW4FzjkGRnNxUHIpy1kvtyfnoqYc9zV8HmwpOn5AWgbUgnKS3B0pyed2Ndg3KHlhbUR5Wdy1cfD8WsaZpOSTsw3im+z79VKzooc86WZu6nveiekI3SECKdmjQi6YzTfu1cDg7rJg/ilT7gS+n8xQT3c+ZuD4IOdn6ynlhmKDdfxoOaHlJI+1mrf1WZxzvN7PuJiActtnqK4W5cQwvpzSOU6NCk6NCiSwK/LZE4Q0rE8op6dm7zWsczyzMkBftmVJ4Ml6m5ExHC9G5G/L3lotNT9Y6XJvHHGfXyOa9vtNY53jUlZyNik5lxRk26Tt7wt4oAGPNAz3xI6hbEyUSa7FPbWQ2AT8rNuny1Y1i8XM8LcXezzeqXN/LeRmThDWTMkL60M+s7D9VYI3mBrHO8j+txnHuYKlvOS+cOc38SlT7iasE/z1csyuln7ni28BzjmeWSl5Zslwtel9Jq2qSv7rRszcbXAiD7TmZ1mf+lrJrmD7Qo2dc7zaH73jdRa4lJVcyqpj2Lb0uFf53N/wpobye4Sjw4S1t3kmP9ys0xIeLeVxTyPgeJpyfJRe4Uk+lWacz3IOxzUO+j4CyDSUpvI6y8LiCUtuHIWGXBiUsEQKat50fDjnWDYFK6ake6nc4ql9JyTgC0nNEwRSEkrJfJjTIqUmIQx8vCCk5Qc0ZIZ3LXmKaxBKyYPEZHXH0WSrF1k7eHF9xGJW8smZBjdjIJ8cZjR8wWPtW2MgT43jHSSWir1BwMVi08vy5jDlvtbOlUycMuVuJbeCn6z1+Px+R927fUf6uYG/XSo4PTT8MjO0rzV/d7HHvxKK+5u3JivS4ngzGXEiS+gZw3ZvK4tFwWq59QVktx+wbkqKX7LJ9qzmpa7mpS4cjH0ebsVMswPvXC6kBSeSrUGre8OA+2oRo/GfPSl5tFXn3lrIS70RS8XWeNTSOY4kI44kV7nB4Nr3bnqSGc9nf91jT+zxfhsnpbW8kPTpmut70Z8PPPZGAQfrHk1fUhSK9YF7m85xQZwXVDrHHpm3qdV8Iwgh2B+G3NvyeKE75EK69VnPpQUtL+Xh5s2tQK/1EmKpeHAb4pnfzrQIyDX43368DIBDYJzCFyW5DQhlZchGegQ4jPSRziKcwQmJlgH5uNyhdgpjFblWCFEVQ/AkhF71tp0bydme4ce93pZ7/+aeFjOBh6MSfs9KQT62n8vS0e/ntNvVYGjWqwFclJWotpJVwYDIrwajErYSrHcCOxZQt64SGN94jrqX0EhXUGkfyrISFrzceyMVLoiwQUgeNOm7Npn2GOUKb1xOuBYYAjku1mA8eolilDiSpHqOA3u9iXC/tgJtNicmgK8cStrLhO8dzgm0kQyy6llWVzUI0Npy7wGfyK/UFpTYqCbhiGSOwNLsnUekQ1ypEVKAN85wFQI8DxvWGdUXSGxMQ2yKhpciYFjWmJcrCGfIvRoOuSnyj0RiseO/ea7EIdDCJzVVnzgnq8IvgBQOsfHfl/lPtPXo5wFJLmjFlsAzGCco9LgYidsoBrDRf2DcZpsJqlgubcSk2ly3X31/q1FdUwstkVeihENbyajw6Q4FZpxVXIsFjcgyH/VpJEvIZAB63P9QCedLCZ6PjWpov0bmNzi21GGjEFKnXo2hQOmqv6zC2KpQC4AvKyH6QqtJQYJGTUwKAWx0yeXhp9ZRzZPxeAmURclK7D03CjtuG20EJ89VE2PPrpA4cOyq9VFO01g/ixsNYWMDUR6iXkfXZ4kaTb6wb4aH1UXirFv1jS0pggbr8T5qpo9wjhW5B4ugI9YBiMsB0hkKL8Yh6MtZ/uHIXj7yQGUNtIMRoSxwThCLhMCkrGnFty96XMqqBiushwSUNEhsVSzCycncTLWHcYLHZhWfno9JipBfvClZXa3UbOp1n4P7AxbahtCzaCsY5YpSCzr16reGnkUbQa4lWSmr/y5hYEt+3huQupJAOXzPUFM5y0mdB7wzeKP1qv8vRwjwA6wfYvyI0qsSYbq2g3GCrFTkpWCta5idkfxgpbtFteBgTfGlfTHWwqXMcnJoOD0sSa7j6Hch9HikHXKg5uHJ8VzCoZ2kHM8T3zP44/llnKDmZdTKPkH3EgAuS6uBJhVCKYhiiuY8TsiquBMgTYlTHlb5k2pmVvkUXuXC90yJtCWlF1HKEOW2bvRWqMm6kNmQwnr40oz7tJoHSjgKU/XtKFd04hIlDYznc6o91oeKLHfEkWBltaDV9JnrOEK1sZbY8X4kwFUrknViomUvpcOTDiXceC2RCMF4/lfXXFqxzM+qSYGIyDPUvZRmslg9Z9KHshhPSFEVzghCbFD1u/Zjui7gP5wWZJe97MRK8hu72gRS0h3AaKRptXziECLf4SnNhbTk+dWMgd7eqqVNT7AvlhysWe4NS9p+9VxR9xIuGYIxiDDE1Vs45aPHv2WjoFfh18b/LTBy09CWzuLrDCcERgZYIXFCktmI3FZ+xZrKCcgRuKpvhDexGQBW0xqnzhYcOhDQjgqEcHTTkJk4R42LQpXWIzce1opJMadCyy16ws5VRZNKa/nJep/18tqGsQQ60mdfHHK44xErSexX9Q+ME2TaZ3FN0KgJ4qC6ye5ojVqygkyr9prs/0Lixou9DWKKoIlWAQPdYG3k4xzMN4vxfR258egmijeOrNKZbzI7GzBTN5xOM55bTbeE4AB8vNmiYX0WxuHDnnKURpDmAmMgjqoiKEVZjd8jr67w2OPztKIST2qkcDineKI9B6OqX/+7T2+1p26Uqed4h+n4PrOex5reHOyv9zM+PT/1Hk+ZcivoFo5vn8n4r3fBh2+h0+lsAk9dguG7PJYEONYvWM0NT3Y8blZAVTvHa4MRp7IU5xz+LVr1z6T5FXJen5gbVxkUgt2Rx2wQckhJhsawpAtWdM5acfWkoeVc809LmrYveaQdcrjlcRsd/juGtpbTLqM7GDJbKD4xH9H27wzvqHXwvUtsMYwF8PFOk+CXhMMIIThY99lX83itW/BKN7vCULpRBtrxxsDwxgDAo+k5DkaOB1yNh92I21c24tZSjA3j7lUM40AI5v2A3UHAQhCQJZZ6pIjV9r6I3AhCCB5sBeyNPf7mwnCL5NvLwwFPxh1uZo2zOH6yMuBhz2d2G8tXT43jO4D745i1weY50umk4HFtiaexVVOm3BJK6/iPFyW9hs+vtLdf5u3VruWHl0SVknKDBt1abvjexR7tsnnDC/VSXvDC2pBeYW5pcSDjHEcHW8/HDzc9ZkN1RbypEIKm59EOPD5ai0iN4XxScHxY0L1Kdn2vtPxkJeXn64JH2j4faEZ3rejlqi54IxmRYcHBhczyNxdKvrBQ52B95w3kn3Yl594mAfZQvcZc4HOlRsWVKCH4cCfinjji5W7Gcl5WPlexaR4JsXk6JgWI8efWwXph3/EuAy04MhQcYY6fy5j/Xr31njd0Cmv58VqP3ttePmd8jw81qjhv60TVjnfoC2TTl3x+IeYfLm2uE7lzHMmG7HPNSb/fCNo5Xuj3eLy5fUnN7/Uxc1ewKwhoeJLh+LjJAW8MMp6YufVaflOmvF9xTvAv6wFLheTfzG6PgWyd40dLmiNdi3LctKRraR2vZgNaVjIjfLSFVimJSosVDpwcK9xsvVFhLc+tJRzr52xT8vov5bzJtmTJKwEfm72+OMC6p3ioFfGBRsT5VHNskLGYX9kfqXG8sFbwi/WCBxohDzcjOnfJDpYby0vDhPP5lXrBpYV/XBzx5GzII+2by/K/Gc5kimfWtxrouwKfB+J3n0Fa8yRPtBuUGgIPfM+hpJvY18YJpHD4yqJEFVZlnWSYK1YKzdmRZr0sWSs0v2x4n7M1fswuvsD2HLXvBLmx/HClf4VhPOt7fHqmhRISrbmed5MdZ3/N47FOyMvdzXG+bkuODlI+1Lo5e6ewlud7Pa5Xr/mduEuWlvc2QggebMT8rLuZ5X1imPNIO0ZNBdOnTLmlvDHyWC/q/Bf74Wbkhlcyy4urJWdGdtuP/y/ZgksUBLnkrTVFPamMCeugNBLhBM3Q4QlB5MGodAzLbbDOr4PcWs6ZrRU+H26FNLzNmNvrQQjBnrEG8nqhOTZMOZMUV3yDdvDGIOeNQc5cqDgYKw7UFHPhe3M7Ozks+fFyviVU4Wq8sJazmls+NX/7q80lRvCdtRrusvEUKcGTnSZiG2UA3wlPCvZEPg0RUgscgZezXhRcSC2XUs2lrIqrvZwf2wUOm4y9t+0pt49rGcbzgcenOm08KbiBqK0d5YmZkEupYSnfDA95rZ+yEPrsrd05c/jOeZL3OYdqIa/1k4kuZOkcx4cZDzWm3uMpU241y4Xk/z3v8wVleTi6/v/POMeJQcHr/Zx+mW4mh95OXFWRLjXVvVPrsHacUHUbODZKuHzrDqQYezhvfNeeCTx+Zb7BR6zm9X7O8UF+1RjV1dywmht+0a10WQ/WBR8IFQ8aRVttTwGEW0WiLT9ZLjg1unpy1YLns6LLLa14clTSK4f86q7GbZM0cw7+Zi1mYLbe7wu7IiIkxc6oIwKVsby/pthfUwTCIsqCizl8d1GRjBMVHYKnsj38j83195TBk40N4/7bDOOFwOfTM633bBEdKQSfW6jz3Qv9ib3jgJ+uDvitsI26Q9RH7tbQrfccSggebG7dlV/tpawWd1bZ2ylT7lYyI3jqvObF9Xe+tlfCM8sl/9xb44dLI5ayHbQQdpChNpxMtnqNH+2EhGp7tpaGp/j4XMx/eU+Lj82GxOraBkHp4K2h4x9Wff6v/kH+794+vl/s4oRt3JQs1XbjnOP4oOAvzyRXNYwbSvEIdZ6otfj8QoPgbUGka4Xhby70Wcpuz97wfFLjRLY10emxTsCBO8jLt4En4WDs+NLCVoNy1QY8Pbi9RXZuhtRY/vlahvFsC+9ODSy+Tmqe5FNzW2XcUut4ZmV0xxRCu/NG9/uYw42QI/0UM4m7gh+vDPjsbOeOeZuasn045+hrw+lezmpR0vIlh+s1at60r3cK6+CflgXLGXxkj0Netgk5B2+NBM8PBScTyNAUtyOg9w7m1V6yxbNZU5KHmtuvORoqweMzIY92fI71Da/3i2uqXGywagNWmeN5M4dXWh71BnzOH21TROKNMdKWZ9aHV42pFsAhP+aDrRpra9Xne+OA394n+MHiiF65OdZy6/j+pSFPzta4r3brqsZc1AE/GLa2/G1PBB+9znjyneL+uuOJcMgv8k3VpxeSGh+INQdvjYT4tpFoyz8tD66QvNsV+HxypnXbQ2puFXvjgPuimJPZZobnxazkjUHGoXDnT8ynOsfX4P/457cQzmFUgEMgnEXZEuEuW5CFrDQNpY8TEicEDjHROV5La1gHraiYHHAK4bBjL4ZxktIocJVGpbGC17sFP+8PtzxLx1d8fq5NoASB55Ci0rKESvsTHNZJSispdHVN7FWLqy8rz0RhPZLSJ/QMsSrwRUkwjhM00kM4S23tHHbQwxUFzljE2EiTQYCIIlyjTR7PcKS7h5m6peaXmLE+a6Q2dRstEu0U2qpNXV5RaXIWWtFLKv3NRmwnWsuesGPtV4dFYKwat4/E2A195ur4xVeOyNMEspzcE6rjs0axjjQFatTDDQeYLAPnEF71HqiaTWxzButFlF6EwKJlwMhWi2g/D9gXrxLolLQ0XMwl58qA87nHcg4I2BsJDkWaeyLDfCgwKiB1Nfp5NOkTCxgr8JWj5hcEoqx0Sp1jMYcTA3hraOiVW6efEvBYx+eRdoQUiqxUvHa0z+HDbeqhqZJWGOubWoG1G/+uNCI9WWm/AsSq0oIUk/HhU1g1GX+etESq4LUzEZ/ZdRLVW8EOR9iy2GhQhKeQYYiIa9h6mzJs0JOzhLJKqMhsSCBLnBuPfRMwKjzioBp3gdSosT5raSvd7/FXo8f9mhaSta5FSGg3JL7n8JWbjJ3eSFCPHa2oxN/4PeMxsqEPrIQlVim1bB1hNWrYxQ4H2HGBHSEEMooQrQ46biGwFH4DZat54oSo9MqtpZKRVczVAz69bxd75Aqv9uCNlRG93IIQaC+kVBFDU2eYV161ZlhU8wCNGHs/jPDIbUg/r4yJNBe0aoZAaYLxb3EI9FgXtTBV1rkvq0QkC5TGm5Sbtg4Cz+JJOx5PVbtaKxBi44iy0r4dpoLB0FCvK6IABqPx2LGwZ87hKUuoNB27SjBah0EXl1Vrgi2rdhGeV7VbFGPq7YlGrFYhF3KPPz+z1fP5a7t9Hm7JyXMYJLnx6SU+tcDie2ai972h2evGmrxpIVhaLgiCqi12zSki3xB61RgSwoET1bpgFamxLOU5F5OSs4klvY4oCl84nmyVPDYf0nTVGLZCoWyJE4LUa2KdpG76eOV403YWpMQJj9KPGYkGr50OOXygMl4ilU90zTf00I1T4z7dUF4oeb1X8syKpbzKjrsQSj6zENP0AnJdreOlrvq7XXOU1vHs2oBz6ZVG9X21iCfadXwFsW8mGvGFkUgg8vVlzzdeO5wkLTxm44TYJcTDStef3houz1gvBC+o3bwsFiguc8yE0vHfHpJ0PEdCDU8YSuuP53N1nbbVup0VlZ557Ft8ZWE8Po2t9LeTTJAX1QtoPYbA22yYvBT4nqMZloSq3NQRdhv3UHhyvAdgAEe3bDGn1olH1W8p+z3+ZHQP3cteh5rS8O8OaiIFShcILMIajBeiVUShIkJTqSn4ZVr1/Vj336iQwotJ3KbhFsoC5TRyrJlshaQUAYWt1oTSKvLSoxYU+NKgMFv2SQDtPFIdYJ0gtyXfuzBi8LYYonnP58l2i8ivxoWUm6oUaQ7Lyyn1emX1Dwc5u3fXiCNoRGY8RjXe2BawCJyTeEITUM0Bz5aEw2Xod3F5ji1LhJST+Q9ArUHeXGCVBSzVnr2xHm9gnCI3PplWOFftSUraSYhCYSTnFh1zM2r8bJa/vzhkOd+cvAL47GybhvBZWsqYnY2YbVX3CD2DJw2B1HhCI7A4ZNWGpvr9/+cXtkcGd+o5vsM4VItYTTVnys2jym5peH59yK/M3R3ax7m19LRm3VUGsaMSEBeiWogsAuOqohgbBmCkJLtCH/8WlZa1zrFWWE4PM17uwaU0pKuvfq+TI8fJkQIUkXTsjx2745K259Hy1BWhntY5LowLIJwYWoa/5ATeOPj5esnRvubxTsTB6DbUEp5yVRYzwV+eSQlslQQWlGKaHjvGOfjJylZrdC4QPNi8fZF6sZIcbvp8uO2QrmQlc5wZWU6PHOdzuSV5bIPSCZ7pBfx86PiVjuTxluVWOuK0dbzRL3m5W1x13isBn5hTfLgTYJziKkp2APhS8PmFOq/0Ml7pbQ1jOZlk9LXmM3NN4puUeT1vI561u3lDdXBXaZjfnCto+fFmoaA7mEA4fpvT/Kk7PKkyNLCK/7QKv73rzguDGmrDP14aMXybYbw79HksaqHuEo/x5VTxxw2+e6E/qaDpgBe6A36l3dnRZ5sax3cgDwQ1EmtYMZtegot5wcv9hI/P7fxxw40wKC2nRprTQ70lS/XdIICF0OdgzeeBlmT2Jo7HRgZOZ3Ahk1zIHUv5ELNlTbq+TT6zghMjODEqgIJQCnZHPrtCj1AqFvOCc2mxRfj8ur7XOJ5dTTni5XQ8ccfEYb3fyIybJmZchdMJnEu2jslPzftjrdLbP1aFEOyOHHsDx2ebKXplkVMm5kQWcMK1GIiti0Vm4AerHj/rOT4z5/hgzLbmL5bW8Uq35OVuSXqNub8vhl/d7dMJJMYJ3mmJEELwWCemoTyeXR1iL3ve1ULz/aUeDzZ95iPFXOAhr3PkWgdHs5DnRjXOl7vGN7vyuo9FQx6qS7IrP7pjOShGfNJe4lmxqVVxdKj4QM3yoXeReHur6ZeG718cMXrbIDgQ+3y01SLP7z7DeIO6J/nMfI2nlzbVulJreWU45MAOlnCZGsd3IEIIHomavFz0WL/MlfDmMGMmkLekjvgGpRMcp8MROcNp2lhgd5mxj5I9UjKruC5DzTnHWm44NTKcGZWsFTcfm+mApbxkKS95cR0WQsH9Dcl9DcFs8LYaxG/7/9ZcyDnqnE9nODuqs25uTVxvbh1nkoIzSXFd10tgf00xHwle7+krjoYH2jKIIVnr8fG5mF3xNB55ys5iHfxoZevf9seSA7U75zUiEpaHvRGHxSJaG16WC/xI7id525bX1YK/WRS8GAR8fk6zcJM5W7lxvNK1/GK9JLvGkucL+MyC5GAsx4EAACAASURBVMNtgRXvvs32xyEPpDnnm4bEbN4kNZaXLtOPbXqSucBjb02yOxLMhnKL97G0jpfXNa92oa/b17xfHc2nakM+GQ/RzL7r591pPuvO8xZtltl0LH1/xeOevYLmHbCcruaW711Mr3CgHIx9PjPfICvvXsN4gwO1gA+1NEf6m+N3qSwIBMzdjL7mTTA1ju9QlBB8br7J95d6WzwPz68ltHzJ/m3MFNYWziRwYjjHMb2fUmwNDTjn6pyrHKPQBSXWmBup8YLrMRcqQumwOC6ljhMjy1tDy+BqwXXbyHLuWM4Nz65Cy4f7GopHQsleBRfLkLMm5IwIOS8apBtvoO8iwVvg2OVb9sawK1bsiWDkIhbTgosjzblMkNt3v3B5Ag7WJPfUA/bHAXXfIoTl8Rmfl9Y0L3fLK7xIq6Xme5cG3Fv3+chMRN3b2amrreP40DHSBYfqjpngDthlptwWjg4lK2979/vkfLBjXuN3QuH4CMs8GiQ86x/k2aR+hXrFpULy5xcDDvVLPjnnU3+X0ys17v9n781i7Lyue8/fHr7pzKcmslicRWqgBmuwJluWhxiy5URJnPgmcafRiNEBEsRO4gfbgR8aCIIOnDYcJEagCEjuS4Dbjet46r43uVZix74eY0m2GUmWZYmSSIoUizWfU2f6pr13P3ynqkSRlMSZlM4PqIc65zvfvPdee+21/osnVgxPtCyn8wMoAftqkreOCSreuRk8oZO8a6LKj1udUyb3wXBinacc6m8cfyKQTAUKg+DAakZ2igIya0y4PnfKRW6IYnTpylyxBNA4HuAw/8A1mKE3PbaCry2F/KfJ3iUNlTrWt/zzsfSkd2Zn2eOuscoVK9d2NtzcjJiLc5Zelmh7VKRsyTPGLoGpOjKOL2NKWvHOyQpfn+usG0sO+M5Cjw9sqVD3zt4gsc5xqC94pis40IPESqD8mr+DQtt1PsmZT2DN2vSHCQLx65QWrSpF3ZcoWXTNShSJhhKKD5wEBNYJnIP5JD9J1ublrGbw+IrhcULgZetlZ9C3lJSg6XvsKqds8xKmdYYnHEb7ZKpoKiGS6VBxZy3FWcN8JjkUexzuK2YH5pRarFDcn51lwVUVybayRApNZvV6clyxjeCt4z7X1TWPLeU818lOMjUO9TJe7GVcUwu4thrhiYtvlB4fGL63kLOSAhj+fREaXs6uimImkkSX4JxGXBxyC99bOXHY2FNRTIZnVvDjUhAIy73VHm9pCr7TKfPTtjspLvlwz3G4lzITaCJRIpSOUFoCWRS90B6gctpWspwUfd4L3Yyn2qdv+1rA9XXFrWOCshYnJDCd0/VIyb2TVf5jpc+B3msHOxgHc7Fl7nQu7SG7WeWtZpadooMSHlJcRvEHZ8kUA+7VC3wr37T+2Qux5j+6PreWB6/yywvHoa7l4dn8JEfInorH2yYjcvPmMYxh6BCcLPPPxzrDSRsg4Il+h0alStO/uObqyDi+zBkPNHePV/je4oaCRWod/3a8MJBLZ1CKyznH3CDnSD/lha5hcB5DC14rakIAU6FiJgyoi4CyVmesVtFODS/FKcfilMWzjFveOB/HVAAzoWVTpKgHZcpK0EmDoVqFRVhedbyXAjYFMB4J9jVCWnHAcpqzkGTMJRmJcYwFmj1Vwc6yxZMvz9I//X7LWnLPZMS1tZDHFmOOv8IzZIGnVxOe66RcUw3ZXSohL0olNPjWomL/6smDSStz7F/J2b+SU1IDtpc1O8oeW0uOV5GmHXGFsX9V0ck3HqgE7pi4soaRinK8e5Pk9mrMd5c1B/onhza8lEhOn3dQLKM9+dKrH8eTcEPd44aGT0WbE5R1zhdSCG6qV7iqHLGUpbTzjMUkZyW1Z2SCKxw3RjG321kmslVsnp02TO1K5U61xAHR5Gi2EX/+zVbIziChfpFf4Z+vWr5x/ORntK/mc+dEcMpk0jcDFU9x53j5BHsndpZ/nWuzsxRw23hA/SJJ8V1ZvdqblG0lnxuqJX7a6a9/1skt357vc9906VWNj8w6XupbXujmvNjLX7NEKUDFpVzrltknW5TJmdM1jssKs6LCbOYRv85QAiVgS6TZXtJsL2sCpdal3M6Gqqe4xou4oRHiSDk2SDjUyznSd69ZQtPHMEOPbUHG1qpmU6QR/pqUm6Znzz1eUgrBROAxFWquIzpByk2JjDP1rDV9xb2TNR55tkWrxkklRDPn+OnqgAPdmKvLJfZUA/QF6lSfyyK+1qmz+jomVH1j+flqys9XUwIJOyuKXWXNVHgxTPgRF4rYCh5pnfj8b2goap68zH3Gp2bMh1/ZnHM0UXx3UQwN4nMnlHBTU3NtzT9vxVBei7JW1PyQyPNAOFIDcwPLcpqzkmUsxIb+KWbkoYKb64471SJl5aB9crnuNwpSwAP1Vf7z0vh6WE3mBP+0XObD068vR+R88PiK5TsLJ3uT3tIIuaVZJLW+mfOvt5Z8dpdCXnhFcaFD/YQjg4QbGj63jUkudDmAkc7xafg/v30IIxXSWaQtvJRGegxkEXogcHikZPgc71apRRkC6KWaRlg8VC3zQofUaQaZx+FZuGrG4auhtqqTLPUDlHQ0oqTQNXWSblpMjZJcUg8zPJWBc3xrLuNA50SP6d6qxzsmAxyS1CgW2opmLWEuHnCwZznat6+ZBQ1QEoZrRZtr7SJb7SpK63XPgVAKUSpjauN0gjG6uWU2lhzrS1bSnIVkI87Ol7CtpNlVkWwrK9Rw/tWKfZwTVIJCc9MhyK3kxePFMbZMCqpBoZWcGI+Vvk+Ww1jFkA2N8TST1KIMLSyJVWS5oh4OcC7lxZ7j+a7jxa4hcYKqS5nJ22zJ22yVPbbUPKSAlW230lw9hPVD0qCGA5yQzKdFoknFj6naNsqkCAeZLrQvlSvuuxzqXFuhMELjEEgsBkU61Flc0xJ2rtAULfspnth4bt08pDPQTJQTfJkWGsBOs9AJKYfFjSx5KdZJ2gMfX1tCnfFCN+FHyxm906zflpXk1jGfPVWNFIJ27FMJcsp6gMRgnGZhUCHQxTEafpco66DTPrLXxvV72GQjIUIoTV9ovuFmeMqeWlZnMhAsJu51DaiegM2RoqoCJgPN1kohUSUA44oQmsxIlHR4ckMX1drC+LJOIIUjUgntLOdY7DjSFSwP69e+fcJyi1xErCySt9uYZGPAU4GPNz5GZ/payr0FVsubifIey6J47rlVjOkWAAkhWmQEeR/1MsUYKzWxVwYEnk2xQpILj9gWCbL9zMdThY547hTPzfrs2mQIVbIe65gaD4FDS4NxikNzHtPjllBvvB+9zGOpLZlqGMpeihJmXQd5NQkZJIKpWowWBuMk/cyn3Vc0K8U+BNBPFSur4HuFRnToWTxZvLtK2nW94EjH1PuzyNYidjDY0IWWEqEUSInwPKjW+Vq2lf0rG4O6J+A3dpRp+BkSS+Y82klEOFwN8lWGsYp24jO36JgaL9r/2nlYJxhkHv1UUgkNAsisWNe3Dr0ciWOl71MODCUvwzrBUi+gGhXXWtUDtMiH75+g0ptDrCyQt9oAxTvgQIU+3tgY7S37KCctWv4knhhqwduU51cnWDIpP+t0huFCZ04oBTc3PW5qWnwpSKxPLyvejVBnBENddodgYELAEcjhWICgnUR0BpKpWorAYZwkt5J8qHHd7hf3pVG2+HpjlS3Jij52sQ0z44WGdmYVB2cV2zc5yl6MIqObw+wAXhpIVvqCzSWP2yYyJpJZZGupeCaDPjZNiz5fKoRWCM/D1Yt20q1sopNXkcJSkV0GrkTuJKuxTzUYvn/DcSzJFc8dzrh6pybQOW6oSZ7kitQIQs8WmstGoKVDyY1+pBsrrIWJarJ+j/omYJAW1zpR6qLJcEh6pkRqFFNqkbC3BK0iWzRrr2KHFWZ1KURPTmFLVR5vwf/onphYeG8j5e5a0fcZXYSRJDrCNzHKpDghSXVESoASBsFQ1xjF0qBK2U8pqT4gWM3L606AYDjWrwwitDQ80+3y4+WTVz3fPhlwY0NinKKX+Sx3JJsbxW/X7ILcCXIjyUwhb7pWtrvVNljrqNc0UQiBtoTaEKgUOTzP1Hks9UImK318kWGc4uBShX3NOQCi1eO4ThubJLg8R2i90Qes5bdU62SlJkfMFibDNq2sSs3rr4cJpc6jm4ZI4QhUcXKZVbT7muPzRaPas10RaDPUvi903Y8tKeqV4o6V/ELatZNIHl3uMJucujGGUnBTM+LWZo4/lINNXdHW/q97mqf8zZlyST3H3//+9/mbv/kbHn/8cWZnZ3nwwQf57d/+7fXvnXP8xV/8Bf/wD/9Aq9Xitttu43Of+xzXXXfd+jatVotPfepTPPzwwwC8//3v57Of/SyNxsZg/tRTT/HJT36Sn/zkJzSbTX7nd36HT33qU8MEkisDIQT3TAW0U06QQjvQyWgME/QOdlMOdXLardcXcuBL2F2RvMVvsztbRMT9onG8xnnUPUHZU8xEAaFKi0pvmSN3jornIVAoWQx25txFKl7HdQj2VAW7q5Jy0oHlOWR7GZPEOOuQvkaK02djXwkIIbi65rGr7POzdsZ/tNJ1Xcg1esby3YWYJ1uS28Z9GvLsZXAc8DPX4Ot2hsEpuomaJ7h3MmBbGQ63S/RFjxd7xSTldLGXmYMjfQP0oQNiEZq+ZCrUTASaCV/jn6JN5taxmObMx4aFpFg2PlUYz8PHwWsE3HjWVz3idPw0jti/euJNv7EREF4kz+iFRgjBTORzy5hkNTHEWUZiILGCgZMMnBr+DwMj6eWS1DpSa6l4gqurms1BhYmomPBebgghqHpFyNbWcsDheY96SawXhngzcXPQ40AacSDdUEH4Xstjd5ixyb8wA5Zzjh+tDHj2Fc4tCbxjKmJvTQHnP+zmSkUJwe31KiumkLBtv0IAPLaOR5f6HOgI7pkQ7Hh96VJnxCU1jnu9Hvv27ePDH/4wv//7v3/S95///Od58MEHefDBB9m7dy+f/exn+eAHP8hjjz1GtVpo7vzu7/4uR48e5Ytf/CJCCP7oj/6I3/u93+MLX/gCAKurq3zwgx/kbW97G9/85jc5cOAAH/3oRymVSvzhH/7hRb3ec0UJwb1TZb52rEPvZVbnY8sJjy0nr/LLDXwJO8qS3RXNzjIoKaj1c2R+9uk0QgjqfpFokjnxmiEOFxIhiipYb9QuX0vBTU2fmajEz1djnu0OTloZaGWWfzseM+bl3D4RsOcM5alW8fgXtvO8O7W3+K31nJvGa2gpAIMvJTMVzQ11S24tL3Q1T63AfJpuJFacAgcsp5bldE0KpfAITIaaqUAxsJb52LCcGF7vkPVPrQqhX2YX7TO65hGn51lT4b8PTnwXKspxfT3gck/CO1OEEIz7oLRbr3JoJRi5sYab4rEcV9b7uXpYOBTa8ZXjbHkzIwR8oLLM37WmGaxVX0Xw3xYj3tuM2VY5v+HWxjkeWe7y4uDESZMW8N7NEZsjn5FhfDJCCKYjn5my5nAvZn8rPknubiV1/Pdjjq0R3DlhmQjP32T9khrH9913H/fddx8Af/AHf3DCd845HnroIT7+8Y/zK7/yKwA89NBD7N27ly996Ut85CMf4ZlnnuEb3/gGDz/8MHfeeScAf/VXf8X999/PgQMH2Lt3L1/84hcZDAY89NBDRFHEvn37ePbZZ/nbv/1bPvaxj11R3mOAUEneMVHl3+ZXX9XweDkVLdgcBOyqSnZVDJ50ZE5fkASRERcHX0puqJe4thbwZDvm+W58kpmynOX8y2zOU23BTASSnEE+wNdFPHjNs0RGEhgPLwtR1nKMGt9mhvQUihOTvmUqrfKu8WVW5anbjScFOysaL4+wzpHqhOPxgINdQ/91vG6xdRzpZxzpn4Hm3stwCL6azvCfRIctLJ3VPkZscNBW+Go+c0KCkATum7LDydEbyzge8eagIi3vHxvw1cUNl+NyLvnHhRLjLcdtdcNVDce55n5l1vH12YQjgxOn94GE902XmArVaVfaRhRIIbi6FrCr4vOz1QFPttKTHEJHB3D0SMze8yhcfdkm5B0+fJi5uTne8573rH8WRRFve9vbeOSRR/jIRz7Co48+SqVSWTeMAe666y7K5TKPPPIIe/fu5dFHH+Xuu+8mijaWUH7hF36BP//zP+fw4cPs3LnzYl7WeaHmae6dKvPNue5ph6bJQLCzrNhZkdQ9j9UkJPJz1GtJMIy4ooiU5NZGmatKEc/2ehzsnbyke7TvONqHwjvRf8W3/vBv6F4+hc2rsNwTtnnr5pDvHX79JT2lEExHHlfXct41JVhOBUf7khe7sJxldPKzX8L0JWwKJQ0vQAnBf7Q2ritH8mV9Nb8hn2CT7b3KXka8GkddiS+7nevx0mu8d7NiVylnedSNjLiCuaaUs69i+Vn3xPd7KRP866ImXDa8pSa5tSKonEGEmnOObu6Yj3Oe6STMv0I6r6Tgl2YCaucgxfpmxJOCW8cC9tU1jyzmPN89eaw70Dl/Dr/L1jiemysCxScnJ0/4fHJyktnZWQDm5+cZHx8/wfsrhGBiYoL5+fn1bbZs2XLSPta+uxKNY4Atkcdd4yUeWepjKbw5m0NNXQTcMCmZCDY8b7m7srzjI86csla8baLMzWMeP1lOONw7P4ElW+nxAe8lJiOf7Bz0ToUQjAWCiucx6YVo6ZAqZSE2zCeG+ThnMTGnTR6taMlEoJkKNdtLjonAYoWiHReT3kDBI0sbBnIqNF+ObuC3+k8w5i6NjumVzHEi/tFdRfYKw/jdm1QRHzladBrxBuA9k46BExzsndzxxBYeaUkea4VcU7bcNOYYO0UXuFYN9rnUMjuAo/3OKZVBoMjVeGDGo+pJzsE38KamrCV3T5S5thbw+EqXo4MLM0u/bI3jNV4Z9uCcO8kYfiWvtc1a+eMrLaTileypBsyUJLG1NDyFc5qFtqKsz25JesSVT9NXvHdzxHxs+OFCykJ6dkay7wzvkrPcKpeRQsI5LzCeTKiKgijbyx7GCTILCwPHcpaxmuX4CiYDzYTvEWm5rlZR0ilCnNghXl0NUPT5wcsiKQbS50ulG/hw/3Fev797xCIhX2AvCSd6tu6ZlOyrj7xdI944+BJ+aUaxstrhR6uaZ/r6JI1hi+DpnuLpHmwOE25uSiracWzgODawHBusnJQcfSqanuKBrUX1xdGiy7nT9DUPzHi8NMj53oJl+TznwV62xvGmTUUlm/n5ebZu3br++eLi4rrnd2pqisXFxROMYeccS0tLJ2yz5kV++T7gZK/0lUjVk9RFIYOVjrw5I4ZMhYp7J2r0SVhJY4y1ZE7SzTygkPdTIgObY4zF5Dm5dRjr2EKfu5ilIdxFLQSghGA8UExF6pRSbq/FW5uQx30e7W2Uuu3IkC9FN/K/mKe5svVKLg4tfL4gr2EgTlxHfkd5lbc0x0eD+og3JDOBZWYiZjUX/KgX8URHkpxCz/947Hh49swH2qlA886pMiWdMjKNzx9CCHaWBdtKkmc7mqdXz18q/mVrHO/YsYNNmzbxrW99i1tvvRWAOI7593//d/7sz/4MgDvuuINut8ujjz66Hnf86KOP0uv11v+/4447+NM//VPiOCYMizWRb33rW0xPT7Njx45LcGUjRlwchBBsCjS7KwoJQ53j8it0jgen1Tm+jLuHUyKE4D21Pkmc8rjZ8BUvqxJfEtfwv7rjl/DsTia7lLIup6DjNP9VXkVXnLhKcKde4p5SQofxS3RmI0ZcHGra8c5xy91NyxP9gMdXDCvZmTsIlICJQDFTEmyJFBFlfHl5tfc3ElIIdlc1u6vnb8y6pEVAut0uL7zwAgDve9/7+PjHP879999Ps9lk27Zt/PVf/zV/+Zd/yYMPPsiePXv43Oc+xw9+8IMTpNw+9KEPcezYMT7/+c/jnOPjH/8427ZtW5dya7fb3H777dxzzz184hOf4LnnnuOjH/0on/rUp15Vyu3/+P4cR1YbhL5lIuzg2wSHIJWF0HRqPXKrqOj+eoEIIxQWReaKBzTIAjxl8GWGRZAZj6WeRz0qZp4Vb4AnMqQzCOdwQpALD+M2li61yBA4LIrEBrTigG5fkGbFYytHgihwSFEIqGvpKHsJgSgKkShr1osVGKfoZiECiLyEsiuSlaLOHKwskvf6SK1QzTF6k7sorRbGhEiGMZtSgiwKA+RRjSVvM+s+PeF4aaVEvWTxtCGQOfplhS9yp8mdQuAQwiGFRcC6SDlAYn2eP6bZOW3wZQ4IUrPxsvsqw5cZEoNDrouPr92v3GnG4yOIhVmSxWWSdh9rLDrQeOViYuRVy8hSCTsxXUzgBRxTO9YLQAhn8fIBwlqMDoh1mU5WppcWxxgvrRUdEHSzogpenCkmyz0CinsucFghSV1AZjVKGvzhc4RCUSF3msT4/OjJmLve4uHLFIXBDmM8HQLrimtUIkcN3xEr5PBd06TWp5/7tHqKRtngSUNqFOmwaEAtSIlUjGcTlDXF+yU97FCJwiIJbEzUnsUuL2LiBOlpVLMQyM/qU3jdZUhjcA6UBs/HeT5WF+0g1xG58lA2wwlFIkNS668XcvBkNnzWjsT6pMbDOkGkU7yhuL8iHxZC8YmNj3WCQOXr98s6yWri0x0I4sSxZcJS8/ooUbwja/crcx5V00K/9Bxf7k5xwJs4oU1vMy1+Ux3CjwJEpUanuR1tN4owtGx9vWCKZ1KULYrvGFV4URNVwlFIFq61+b4rsdwv4p67fahXHJUgJVIJihxli3N0Qw+8EYrZAXxn3jCfwGQA90xpJsPCIO0mIVI6Ip2ihRm2fYkZFlAQgBIGLTKUKwpK5MIjtR6J8Yb70FSCHC0NzgmSXLPSk2xtFu9nKGOUy7FC0jVlNveeo7ewyH/Jd7MkNhKXAW4Ju9zvzRVFD6QCrziGDUrEUZNcegxshC82nvOaZ8yiSK3PahKghCPyiva7Rmo92rGPklAP4qINuHzjXqGJTVFKN5DpsPiCwxW9yHrb76QhgTZEKqbeOYqbmyVeXCmO0R0WZIo8/FoZr15DhBHOD7BBoVTwrLmKXdHx4bO1gKAnq+v9ihJFwRYpLFrkRUGdl00cBQ6JOaGN9myFQws+k43iXkReEb2d2GKfgcrRwqwXIlkrLmSExjhFZj2EcChhsMNnn1pNq++RpLC5ka0XeVjrM6yTxbbC4Ytsvd8AyIcrAX0T0h4EVMKMSKVUTIugdRzbKu6XSVJUFCLHJlhtbKO2fAiyl4XpKQVC4rRHWh7n2e40tVJxjLXiLoHK0CLHIsmdKoqVuI13uJd5RDrHV8UY4ZwgdR791KefFttUQkOkU3w5HP+cJLE+aniMUMR4pvDCWqHJpcaiqLcOYeeLcSteapENE5S9ko9XLaFLEbJaK661No6wOcaLSHSJIO+Ty42JoRMSYQ0vDCQ/biuO9E9vKgUSNkeFKtD2IGdT4NACrJBkMqCbl2j1PeqlDF8aUquIh8VbrIMsF0xWBoQyHrahYoyAop8uxoG14jlyOH4UzzQferildITDe7rWd679RrkcaV9WvERoEhkSmcIGCJeOYFaWsVmOKkXI5jh5VEN3lsAMx3EhwfNwysNpH+NHdHQTn2S9HWTCxzpJaj0Ozvlsm8rXx3JgfVywCJQoioEUBW/WxnBJN/F5aa4471pNM141ReEioJdoBolgU304trkU6SxGKHquaM+fe8f5WSO8pK6h/fv388ADD6z//5nPfIbPfOYzfPjDH+ahhx7ij//4jxkMBnzyk59cLwLyla98Zd0wBvj7v/97/uRP/oRf+7VfA+D+++/ns5/97Pr39Xqdr371q3ziE5/g3e9+N41Gg49+9KN87GMfu3gXOmLEiIuGFPCBwc/5srmOo+GGt/OIavD/sZNfd7NcisjZgYHvLlp+troxyC4k8NUjOdfV4c7xsy/aci7EVvBfzcmG8TVVeL/f4iwqn48Y8YZACNhdhpmqx3PtiOf7A44PigYxHQlmQseWCJqBBiGHE+tTiv6MuMK4pMbxO97xDlqt1mm/F0Lw6U9/mk9/+tOn3abZbPJ3f/d3r3qc66+/nq997WtnfZ4jRoy4stA4PrC0n/934q3MBxshFgdo8D8y+CV38STenIOnVuG7i4WO86l4up1zuGu4ranYcSa6UedIZh3/uNJg7hUJl1f7fd67uYxcuWinMmLEZU3D19xdKhGpjEAW3tINj78YzR/fYLwxan+OGDFixCvwneGBhR/TTDsnfP6EafD1Xh37OovonAuLCfzjS/D1+UIa6tXoG8d3F7t8e75L7wLrPFkHL3QdDx/rczQ70TDeSYcPVpdQV7iaz4gRIy48DV/gqzdeX3FlZdyMGDFixBkQ2oxfXvgRX9l8Fx21ETbw2KDCiy9a7psq4n7PN5l1/HDJsn9FYE+xyNr04eaGZP+KpfUK5cUj/Ywvvphx97jm+ro8r2u0vdzyRMfyszZ08o344DVm6PLr4iBaNM/fQUeMGPGGQQvH1jBjR1NRGQvY4uckxvHTFjzaFnTeIEqyI+P4IuDJIkQkG0mtjRhx0amYhA+2fsKXxm6n/zIlhrkE/u8jgrc24c7zaAu+2Mv54WJGN4dXWrZKwO1jklvHQAnJtTV4dBl+smxPMFMzC99ZyDnQEdy7SVDzzn6RzznHYpry9OyAwz1z2uXfKdfjN+RBfDGqTjBixIgNqjJnjx+zt+LYUVGoUom07DHrF/1SoAS3jwmuG/d4qi344eKVH5QwMo7PESmgrqGioeRLSlqhVUBFCzJTZSLMmQhj+rnkyy8alkbVbEeMuOg0zYAPxU/xxehGBi/r9iyCR1fgQNdx10TOVdVX2clrMLCGJxe7HItP7TrZWYJ7N0nqnmTNY6ul4K4Jxa6K5Dvz6UmlZmdjxxdfTLi5abm56aHPINQhNpZnV3N+vprRfY0wjR2iwwPZAcLgyh/URowYcW5IHFvDtSFBXgAAIABJREFUnGtNi71uhU0qLZRKgjJOlk5bIFMJwb66Zmspwi76eGGH1lkWorrUjIzjM6SkBTtKgqkoouGF7CylBMOg/Ewpcqfp2yKhZmmgCVQxKPlKcN90mdl2xqj26ogRF58p1+d/52m+LnfwjK2d8N1KJvjabJ/r+5J7JhyvNyUuNo5D/ZiXBglzSXZKr2xFO941KbiqDFae2rgdCyS/vDVg/5Lg8Vaf/GU7sg5+spzxdDsjUgJPgi8dvgBPOrTMkcIhMGgJxija7ZTDvYxXM4m1gN0Vj7f7x9ncfglDzoWohDhixIjLm5rMmXQrbDYttivNzESCmJwhONaG5MxLzwkhmNQBb5+Bbi7Zv5xxpJdfUUmLI+P4NAgsuYE4VUzUNdeUDdf5Pab9LkJAJ3RkJJTzLl4+wCgfbTNy6a2nOQalDW1OXwh0ZPiNPVX+dTZlNbOFrqazaJMincFIj1x5xKYYoMp6sK5laoUktQpPOqJQ4OlikNUKkkzQ7UO7nbJjq0+oN+IUlc3wbE4AGOUReDFWSBySHoUuYKQUzjlsmpG2u9j5FeRzBxnIoeautThrQQh06ONVy+hGwkQlI/crAKQ6YG+zj3TFcOwoCpzlsjAzOlmJQSZpRkWWbzuOaISDdY1E5Qyh6HPzVrWu0VhoM4v1hWklLMYpLBKfZHhvgOExlMgLbUqpEGqoDdpLGawMUH4fAL/cJahF+KsdVLUC9TEqtQGxK+JRG+kcDoHRPrkqNBuFcJT8YkKjRY5vY4RzlEQHlMB4ClyhKQ3gRHFOATFKeQgcnk0Rw3uTqpB+HiCAt98sCemi8zW9LLF+P3umSqQStC20sK3QG3qleUSgUup+j5ovkIUabmHxDNE2Q2VFx2alJlM+FrWuKZlZDy0znJQgxPrzd/PLAEh9kEwInCmev1ASHQV4tSpyfFhdUoeESbtQetU+npAgN/SrjVMMTMBcO2CmMSDUKQ6IGODlQ31MZ7FSIxRYJXCu0Hhe1/E0klqQMhblSGHxXIq2GWJ4TwAGskxiPBomLeQhBDjriFcLnVu7bNFBD7/S4ZfqLW6ob+Vf2EbXndgFPtW2HOo63j2l2Vse6scOdaF7eYSWFpW1eKbneLanOTLon9YAFThuqxnumpAkskIfSHNNSRXXHZuAQKVErkcwTA5815jj1qrjG4uag/0TDemBgYE51fBih3+vL9hvzIe31Cw3lhLKZhnZbWPyHDNISFrD5MXjiyj9HH0E1hicdUgt8cpFO/FqVUr1mH59C+04QEmfyXAVzyTrWqrCQSBjwsgDxLq28sAWFQzbsY8QUPZTAhkT5DHSpqy1AaN8hCp0jbXLwBXPwji1rnMssdT8AUoYwryLSBOss+v9nzWWtJviWgPUUo+g0savRvj1CqpRxNJcXXXMs43J7BgCR+pX8F6mSy6EQ2JJnYd1HokpEah8XYPdkwYLhColcDHK5jTcMm+ZFDixoVtupMKXHjkKnCC1HmJYGCJyKdJmeICVHnrYb6zpZAP42keXQzqez2LXY0u90BNeU0xwQpCKAIPEI8XLY6Q1RZ84dNIEUlEOFO2+R1RN0VkMeYYzQz3kfkzS6iCOL6LVs/QdWGOKNgVIrdDlCK9Rxwf2+V2c84r2a4ctwTqs9BjoCocXS2wbjymLHm44MYyUKnShbY5DkgkfHPRTSbYmqSscWhi0K/S8jVBYKdd1e7XJ1vtTiUE6iecyhN1wPAkhMJkh7aX0l/t4UQ+/EhDUVov7WW8jG01MPSLI+yzJKYyT6+PNuFtcfx+FMkyH6fqzzFwxRvdshCcNoRtghn2Rtikyi9dOAk/5eDqlWvMKfeKh8yzQxbmWdIInij5N5TnCWYzyMbLod1LjEcoE5Qr94jWNezmsIFrxU3xRaIQLZ4uaCISk1iNSw3oHFLrNRmhKyjHjZ0z7bXa6ZaZ9Q3NwgDg7RO/4AtnzMe39Ah0FdIwljzeMYx0FlDY1CbfNEO68mummw8riuqXNqZlZjBfS8Kv81ltLGDQ9W6Lu1VlJDfuXMx47ZpHKUYsM1WGth7UaAVYq/CinvM0jd5I0dzz24xa331YoDo2XBuhyjm8TdJYM32+BUD6BOr/1o0fG8WnYWxXUTY2tZZ97tmeUSYlSt1bR9qwpacl9myt8bbZ7Rc2iRox4I3G1aLMzsnzLbOInceWE73pG8E+zsKcsePeko+RBJ3P8rJNwuJdxPFa8VpbcdOB43/iAyUBi5NoU8PVR8+BXN1t+3lf8z4XCKD5XJLC7oriu7rG9lOO7FM8wWsQaMeINjgB2lWFf1TEZSZqexTcWaS1R/+KFPDR9xdsnfUoDj+eSLj36F+3YZ8PIOD4Nv7hF8Y0kJLgA1QIqnuK+6QrfXYjXi8+MGDHi4hIKy/2VFtcHff65P8nyK8rEPtcTHBlAw3PMJcC6iXt6w7iqJbeOKW6rDNDWnfUEWAi4uirYXPL59hwc6iWvGiJxOmoeXFf32FPxKeu1fZtRUY8RI97gBFJwS1NxY0OxWWdIB7kUl7ztl5XizmYdFSkOdBNWz6/D97wxMo4vEXVP8cDWgIePxJiR9+a0aCEoaXGa5eQrHy1hRwi7PMNTHcFKdh51u0a8LrZ7Kf/bTM43Vqr8rB2fYIQmVgwN49PT9AVXVSQ7Kh4lGVD2Us6X4EOoBHeMlbljImRgLM5ZEiNRMkHYFGNyMguJkyRIMgupE0U8cVmwpaTI8bBWwlmZ1yNGjLiSmAwFexo+02GVTWG7+PAybPrTkcfN4wEvrGY8tmDoX2Z20Mg4voSMB5JfnRH802H3ppN586RgPJBMaEFZQ10Uy9ehJyhLR1mD8nw6poYQjtw6ltM+z60aXuznF3w5WAloBlAJFFqG1LTHmK+YinLavQHH+5bjA8t8Is/4VBq+YCYK2Fr22NeQTIiYMLPc3rB8f0Xzo9ZIMeBioyW8pRFxUyPhm8ctx5NXn6RM+Za9FdhdlVSDIv4wd5I4vzCTG08KPKnQQpBbRdnLCQFtCq1iKwT5MM7eolhTVzZcek/RiBEjLixSwDUVuLXumCpLOmg6V4CjRQrBTQ3J9WV4ZBl+3Oay6a9GxvElZnMk+OB0zldeEpdd+J/ArSe+nA8CKbmu7rG7ojFZk93NFRqiCMT3jcMJQS4FwhXHjKVYN4K1FOyqKHaWNQ5Nq59wsO14vi9on+OsuKQFTU8xHkhuzAdM+o5qBbIgoCN8FpMQYwvDo+oJpquwr+zQNie1kiO54lgMcz3LsVgwsCfeM08KdpccV0WWnSWHKvm81C8hRPHdWmfgSXjnuOW6iuW/rQhWu+d2XSPOnIlA8FtbHfvbgh8sOTK38SwnA8WuiuLGcp+mNljpYYR4nWlwI0aMGHF+ibTgljGPtzYt4zJHuteblnt5ESp45yRc11R8Y17xTPtSn9HIOL4s2B45fnVTxhcXLg8ZpYqJuTGZ4yYzj3KOI5R5SdZ4yW/SCsfOaF8lDXsqAl9V8UzEnvEiU/jo6tkb3UoIdpYFe0OHBV7INM91Lc93HHZw8va+yanHXarZgEnrmPY8psolJsM6jU0589uvJhtmEO/s5DgEqXh9nYwnYVup+PNqBudgMRcczjzauWCy7DMTOao2RtnCCu68xj6nAvjN7ZJ/mYt4ZjUdJU1dZKSAW5qwt+z4edfhScmuMjhZRktLzfUvG+/GiBEj3nwIAbc0Q25qBtT9ARWZXpahE2dK0xd8YCZgV9nnewsp85cwJ2tkHF8mXFWy/OJmy1cWLs3xJY6rzDLXrD7P9u4cnq+QXvF6XJ312ZMfR0iBEA2Wqzs5Hu7lYFDhsHCYV3hKy8qxpwrXlB0TVYUQghd6Hsu987/MIwTMlAQzJcU7p8Ac63B89Tg6eR47/yLu0HFkp49fLozfyqYqtfIYZTdJIAOcPL9WjhAw4UOtBFYIBkKuy5qdCVIIbmgE3DwW8KPjPV4ceZEvOlUPbm8WzxFgdTRJGTFixCXGk/C2qYitpfBSn8oFY6bk8cBMyE+XLC/1WtzWjBBC0AwdoYSSjQnzDG0ykJLc0/Q9fV6UfdYYGcenoTpY4N5dAbnTNMwiYbpK7Nd4NtsLwI2D/ei0T688xQG5j63qKH1ZpZVV2SzmgEKTs+/KeCIjdT4HlifZ1VwmG+q3SizSGXp+AysU13irfICEf54vAhqUK6ZNRmhW0xKrfcUgdjRqjlKpMLhyI2n1BEcOrbB77xjGwuGFkF1TxfdK5rzczaVcoQuYO0UoEqoa7qn1udUcw+8eodWfY/nwEt25HslC4Ts1A4OKFMGkR33rMhO9HlepHu/cLJmdnmQugZWVZbp46OpV3FJdoJx1aAeTdGwJHFwbHkD5Obn0GcgK1471UBgyAgAyHVAyq5SSFrkKaHsTSCzT3nEyUWzTzmscadfwtGNPPUfKQgM6d8X9fHp5C3dMdrmjfRBry/RdjfnOMovLXZaeKNZplr0Ole3LNHcuMn51m0ocs2tlHsJCezWZ2snXs/dwa/0gAod1kprfXw8vOdqf5CZ5jHCwQuaXmSvvZmpwGJWndMpTADwzuIqd/jH6tkwkBlSzZYzU9Lw6AJHtco3fKjQprWJFTiI8R5h2SPzheRCy2yvOYWx7k6dakkcXu2TDxMRQJUhh0a7QQF7TsBQ4tCnSf4vPFUYqEhFxvFNFSocehjQPUkFQT7B+hCpXUElC1hswWCnc72kvJe/ZQuPWE+iSIqyHRGlOMPSCByan19yGQxCmXYRz5J63fr8CF+PLBL+Z00lDGkGPwAxwQhLrQmfbswnK5miTopUmcx5KmuGbAUrKoQK0Q1FofVqhEEIih7qmlbxF1RnUYBWkwqtVCp3TvPh+sBzTX4kZ6JS4ERO2e0RjVfyxQj/T1z47ZAtDiW7QJLU+ShhS6603n7paxQrJfDbBZo7jJx2s8miJ4rlWvR51lpGpwUqFlT7SFnqsbih+Hql0Xdtb6xzjFLn0CfINWaNUhzgkyuVokVEPB9hheIdzEqVyLIJceDglkM7iXlY5b00P1SEQQpJbxWrs04uLbZrlgHqgMJ4mQOCFKcrk2DQl7RXPPm4NSHs5ZmBxuUUGEq+iCevFuZdyg68UQVBih59hpSZ2EQMalFRRBlQ4h3SGKO0gnCPzIlqmjpbFMxkvDQoNcJGhbYYThcbvun6tzQkYEKsSPVcmlAkOQWL99fuhpUELQ+40A13FC3uockw41GiXSmFNm8FyTLKUMtAJQXNA1I0ppUU70YM+0+EyLizRrm8vPnMZgjV965BBqqkGKUJARQ8K7WVd9M9ymH0ZmwCpLGHeByzSuvX30wkQOiITPp4oVqeKaPHiOnLp4TkLw+fm2Qxpi/2v6Wx7NkUoiw5z6qFAYbDI9WcvcIW+cXF0MhWiRYpwDjHUKQ4ZEOiY8YpD2hyrPGRUQQ2zwlWSknZj4vaArJ+T94afDysneuXiHYiyHN9axOQ0nWCMan9u/RjGC7BSE5oeN4z1yWRAz5apuWLVUOddnJAkXmm9706Nph/DWM0O20mh4WwotN19m1ByXVJVGIQdUaMk+zgh6eRlVns+M5VlnFTIsNgmGCvuiskM8XJCspShopigUbzjpV5MGMfowQBqdSaDFKt8zFA3P1YlPKtRNkXZHCs0LdtgTCzhD5coI6nI8em7MhW3SpB2wVncUPtX4JAmwxMCIzVSWAKZYZzCuOKezvfKbK2kKJsV92XYL67pbGthCoEcByVfc8+mcSJZQori/QhlgsSu10wQzhHokIEIyYc67l1RZzGt890nQ2Y2K27fOst4fhxhhuujpTLeWAOvtUrn2Arto236izHp8obr1qsqytMRzZ2rjOeGcqlMb8tNREl7+FxjUr9C7Ffx8xiH4PlsNwJHba3OgPS5fdeAdhqx1PXZWhkWUJNFb69cTsMtUQk6JEHIZBTwzt+fQIt0eK2FDCX4+Mbi5YVOfq4dHe/8Ot9GxvFlxvU16AjFd+cvnNySFILdFcUtdcPOsmDz/ADVzocy3GeGloKZCK51GUYJDiiNOIMStyNeH3trmqsrmu8uwNMjF+aIESMuQ0JpGQsNB0cSpeedLZHg/q2K2Cl6V2Jg8RXGyDi+DLmpodhdljy1kvPTljuhlOy50PAc19cte8ckQvlEYtSDXUlEWvDeacU1Nck35xztS9xBbhZ9tkc++zW0R6/SiFdQ9wW/vtlh+gmrqWNWhjyTeMQGOpk9b/3aiMsDTzp+c6LDVKPCk3mJ7y86ltKRo+R8cF1dcf9UDkoQjwzji8LIOL5MqXiCd0xK7m5aftTR/M85yepZ7EcJuLZiubFq2F5WWCVJtKA/GpiuWLaVJb+1U3NgNWX/UkbvIouoBy7nPnmU28QSXmUvt+2G44lkfjHl53HAoTdAYsiIc8OXgl/eAuMeRM4iA8PeyLElLxPpYnTPXUo3NaTGMogdncQyO4DWZVoUYMTp0QI+NN5hJjBkwJ4K7I0Mj3fg223oX+Rn6mMx2DOqTHk5IgW8bdLnjgmLcukoN/siMjKOL3MCBbeOKZpenR++BE9kPeC13XQNT3JtXXNP1dFwa7FrF/hkR1w0pBBc31DcVBU8uex4ZIWLMuG5uneMX1SLTG/acsLnk6FgbyPjLi04rH0O9gwHu47jXVdo7Y540yAQvH9aMh64V82gj5SgHClKUhKVQZthDkaacySWHBkoDqWKYyOL4LJGCviV8R67wvykz2+uO3aOKb65EHB4xZG7898X+EowGXjc1pRc51bYlDzPuEiZixP+H9PkSs1lDiTcv0XTDH04q6DHEefCyDi+QpBCsC0KKFd9ovGUF+MuxwYnrq8oIdgW+ZRlyId2CoQQlBxXpvDhiNeFJwV3jMENDfjeiuTJ1oWxJGqDLvfOPsn1Yynl6qZX3bbiCW5qKG5qgEzh4ACe7CmeXBkVN3kzcPeEYHdFgDu72VpVw76K5bqKI9eaWeHzbCdiNc15aeA42n/tfYy4OAjg3Zs01+TZaSdCvhTcPh7wCzXHD5bhmZWzT6cpKZgMJWXPZ08UMxEq+q7OkVaZO6eW2DyIcbJwU0+KmA+v/ph/7EzxNGcmQXqpafqCD2zxGAsEndHk8JIwMo6vQDaFPlc3qqykOfuXMp6PLZv6gvc0x5msCeaWGCXFvckIFbxjSnFrE348Z/lZ5/xURlPWsO/w07xl4VkqExrG6mf0+0DB1VXBplrANZUGgU5YaPd4ri+YG8Upv+HYXfW4Y/z8LmaXtGB31aOuNQ7BsUGVo33HUpLTyzNWM0cnG8WJXQre0+izta5g6bW3rXrwvk2Ou0sx31wJeeY0ThuBoOpJpkNBw1fUfcmMipnQBqKiFsCqCRiXAisE/Vd53QIM9x37EVFvmh9NXQdc/hP07WXJB7bIokDUiEvGyDi+gmn6mrsnQrYYyTfjJXwpGVUneHNT9QT3b3Lc3nD8YNHyXE+d9b62rM5z6/5HqXS7qOjcBxUpBDMlyT7PcY+E49bnUNdyrJMw23Oko1f3imYylLxzKoQLvJAdKMmOsmRH2SPSmkAqMuvo5Qn6eJflwQrHk5RFF7J4Qc/kzc3b9QJ3VkNeOsPfTfmO35jO+KlVPLKsKGmwNuJYGnHDNFQ9xfbaKjWVY1E4BGUDyp79m3XDsWeoH53jh3fcg+XyKLb1SpSAtzYtb5mWSCGwo/7wkjIyjkeMeAMyEcCvTeccGTh+2FEsWkkvKZRRHQ7zKkvepTzm7oWn2PzcAZI4u2CFl2qe4Kam4u6aQ6QZz8eCJxPFgY6g/4qlRC0FNa/4q4qi0ExZOqrCUFKO57uWZ1+r9OCIC0ZJOe7f4l+yFStPCqZCydZyig4XyfuFK3Oxc4xnjrZ4ejnkiepVZDp4jT1dHkjhuLFmeKEvL8tl9VuyY7zLE1i2nfU+dpQFUyUfIRzH+yFmJaDhX7iL3dRa4Bcf/waPvv1dzJUurzCLXRXB/dWURqjpjlZ9LwtEq9UazU9OQfDt/1IUhkhjGPTBGhAS1NATZ20RU+f7INVGfJ0QG9t4AU5rxFBg3SlVCKUP/0cIbFDChGWQCis1aVijE4wDoG1KmPUQWHLpkyu/KOyAIBuKoQ9cidgGCOHQwuCJDE+klNJC20LZnIFf5UB/J6HOafgdEuvz1OwYt8wUxUq2xM/jJR384wfp/fgnLD51mKXnl+kcLIL78tUc4QmimYD69irjV01Q27WFYHoTslwprsUPQOv1a0ZqnNK44b0QeV6Io/shWdTASoXONoIHnVDIPCkKY3ghSVDDCYVwhkxHALT1OAMTUlIDrJMI4ZBYsqGQ/Iur49xYPcDYws9JqlOUfv4Ii995hLmfvkT7YGE5xf9/e3ceZEd1H3r8e3q9+72zz0ijkTRaEWgBSSMwBgxii/0wjh0jbOOXx1IlO0oKl00M2I7BRfJkhzw7z8ZOAEGlUsZVD2wc7DLxM0kcBMGAsc1iQAIktKNZNctd+3b3eX/01Qg9hJHEbMz8PlW3pOnpe+/pX5/b/Ztzu3+nJ7oeLTk3RnpWirq59aRmNRBvb41iPmcuYboedIjhe1AuQq3t0X7XUK2gqz4YCmWa6CCI9unhbTVNsOwj/QCin+3aiIVfjda3bHQ8SRhLog0TbZgEVrRfQ8vB8goY1QoohVYGKgyi/gVUYxm0MnBKg6gwIHDi+HY0gYjnRPukaGfIlroxfY+qk2DQbUGjMJWPH2oCv0q16vMfB5fwgdijBLtfZfDVXTS//DyODuh/rZ/8nvLo/k/OjZGbm6FhUSu5UzqjzWpsBPdNMzVZFsQSR01KoS2X0I2jTRsVVKPC88ogNKP9pmoTJQROgmKikcCw6PYM8qSIW4pDlUZSdkDGKVAOXB74pct/OyfEUPDGcNQ3Tm/cydZ9I/w+7xAv9BLaMYzuvRT2HQSg0JunMugRlEKUAXbWws24xLLR851UHCuZwEgko20Ig2hfo9Fhbd8f/oxrHX3+AQwjelC7lEkpMK1oXyt15DhxuC8cXmYYhJaDtuyjvuwJTYuqFSdUZjRhD9EEEYc5QQWlA0JloZUanfDFN90jk0FoTVlF2xXTRQwdEipj9LZII6wC0aQEVuBRsRPEy0OYPXspd0djraWBPOXBMt5glbAaTQJjZy1i2Whfx+uTxBrqMJIJTNvmU/X9zEkaaNNG1/p5aMcgDDD8Sq1PuwROcrSdZuARGjaFRANKaxKlAULDpFrrx/FiH6ZXiuJk2oSGjeekGHSb2THcBkDGrWAaAV5gkbQrzAr3kO3fwUDTEgBy//Z9ep7+PT0v99C3r8pz2YW80rkEsyGGm4kS5Vg2jp1OYKdTqEQy2n+qNusCtX+0jo4BWh95HPbmZKa2/7VV69tBdO2QNgy0EyM03eh1lEHVjuPXJouwAw/Q+GaMlkSOc5o1s908nu/zSG+cl4cDBisJmp0BzLCKbziEysQOKqPv7xs2ZljFDKNJaJQOMEOfwLAom7UJd7SHFVQIlcWIyqBR5MKBI/3rwGuUDvRQHMhTHqzgj/jR/q9NAuJkLJYbfVyR6ya7ZB5Wa1t0nvTfdI2EE0M7MZRXjj5HtoM2TFS1VrJCh2jbIYyn0YfPnUqhTXv0OKvCAG3aVN0UWhmYvkdomAS1P258I+pjWhlUTZcCaSzlM6v3WQwvunmtv+00sj+9i+7fvELv9l5GXi9Gx7Ksw287V7Bz2SnEsrFo/6cSWKkkKpWOjtUw+jklDKPtO+bnX0Xnf8M8co6wHUInNrodBAHatAjteG1ZdXSbm+2AC7N5Fhh5VOCjDfPIc2uvp5UR/b92bqy66aP6XNHN0c0sEmaJXLUXK/QIlYlvOqMTsygd4llxSiqJRRUnLFM2kqOT0LQNvoTnZkg89a/0/+ZFerd3M7RnhNL+Crp2yZKVsUh1xKibl6Nh8Swypy1BNbUeacvhc6BhRvv98M+WPfqZ16ZN6CYIbZfQsPHtOIVYPSNEl+slVR4nKOGZcXaXZlP2TTpSR77/2T7QwuL6HmJGiUBbZL1e3MoIgeUwFI/uhWlobGQsyMixEDOQZShilsI0oMGxWRj3se0Rhv1uBvTkD1U1uYpkLekcqb7zSIqhFB9sDgkMza7CeLdOvNklyQE6bA/N1J7O1vWrrHr1eU7peY1X153O7vQStJo616B2JjRr2kx8lSBlRTOwxUzF+a0OizMBP95z8pdIjZWOoTe4wH8ZlfvDN+VOZaYOWbvjWeYm8zyz/KxJaUPS1JybK7Ey6WHqAKR84ZQzdY4MQgjxLigFl7bAyoSUPZooq50hzoi9t4plJbwyZ+97lk/seZSF+QOjo2uTpS2m2DA74GOzAhrdY/8hODth8qFZWbrqo2tTJ0PLYC8f2PUUxjS5r6VzcB8fO/AE9cHElT8xlebMTJnPtA1xespD7rmbumTkWAgxbSgFH8qOoCtJnu+e7NZMbx0qz8XuMJCc7KaclKxf5KLu3+El+vl1ahX7SE3o+9c7mq5mk4VpRbzKO95LbSrF2Y2K5XGfnw047J/AvwEbRg7xgRcfx2qb/NHrsdRQzfOJod/wdPp09qr2k5po63gtTvpcUOfRQFnum38PkORYCDGtKAWX1pexrEM8NtmNmaayYZmPGvsx1dS6selkNAd5rqhuo8eu8qi1kH16fJPktBXy/roqC5pcqvaJDx02ubBhjuI3Qya/6dZUxmFijcOU1rQc6uEDO5/CCXxgeiXHEJV7uzTYhesWKdXN5oCZZX/V4UDF4kDoUn6XdyS32lXWNxSYVZeOFsi8A+8JkhwLIaYdpeBS6w1GSgWejZ/8HfXirezQ58OFl0mo5sluypiaaxT4H+k3eE3l2F5NsttzGAjG5hRpK02r6zM/A6uTZSzLovguclqlFCvrDJbHQv6tV7GjMHYJskLTVuqnee9rNL/0OrHBAlZmZqQKSSNkkVthkVuBeHRDWX9FcaAQcKBqcyBw6fYdQqWJq4CUGZKyFEkPE+x7AAAcgklEQVQbUlRJGgGpuEMslSZphmR0hXhQIXRcyYnfY2ZGjxdCzDhKwfn5V1Ba8/h7bIasqUppzfk9z9E8a/p+L7zQKbMwVgUdMhIY7Km67K7Y7PYc+v3jO2UmzZB2u8oclWeO7dEaCyGVw3fTqHDsvlVPW/CRWZpXRjS/zitGylA6iZu7DKWZE9estN+gefApyvv3MNgzTKlSYfJvz51cDZZPg1tkuR1FIgw0yq9GRRpMM6pMY9lRhQaAWBI/FlWmMHzNjA/ge5Qkx0KIae0DhVcZ6m/gGbNjspvyntac7+eC/G7ayoeA9261ghORNkNONYqcaocQBuSrsKfqsLsaY7cfoy+ISorVm1XazTJz7ApzEtCQikqOqVpZMa2scc2RFqeho87EDTShV6U3UAxXAoZKVXpCgwOhYtDTR2XlplK0xS3OTvgsTIYkTEjuP8SA9pBbWt+eoQC5kW7ak+T4bfj79kZ1bGulfpRtHVW3VhkGyrKhVDpS69D30X51tC6qMq2o5q0bi14rCI7UToxeBKMwjGHZYNmE8RSB5dJjRHX66uxhlK2JeSPEKkOjd1VrpaL6kEDKsAkNC990CLAwwgDXL2KEtfqaKFy/yPzUfnoqjewdacCxAjqbCvSVMgAMmSvxXYO19SVibc3UVTzcdIzKgugQGXjRa5mORbIpQ7KtkXjXmfipOozuPdG2VL3R+p1KqdGakMo/UtsSw0JVSjhVb7T+s+GVjjwfwHaophsoZnLEqnkcr4RdPVzWaBjPTlI2kpRVAo0iHubJBFEd1bpUL4dUE17rKpoHXkFXPdxsksZFTSTqazWACxX8SnSasuM2fsXHGyliHRqK3j/YiXL2oUzzyOQXhhHtxxpdrUa1jWH0X6UMtD5ycdrh9ZVRq439prqUyrSi/mSYKB1iKIMglqQay+DZ0c1NiUIPpldCVT2MavlIbezae1j0HFVb2zRMbNNEmzaxWp3OtFJRbW7AqowQKw5E9ZRrR/bAjlFys6xve4EdajUL51VJDg+PTuQQy8YpLyxRLVVH45VsSpNoqcNasAgAP9uEtX8HulKGUEfbXcijDtc+TmXQOkSFAaHlYIQBhleB0Md8U5UAbZgY1QqpwKMSr6PipHCI9mtDbAQvcAi0QdIscs1FeQIdxbe1qSfavtAj79ZRVzhA6MRwevfgl8vEatf5fTjsIxG6PNM0Nxr5UQrDNAi8KK5+qYLWGqNcQVlmtN8O9+NjVTNQKlqn1j9G/1Uqqotd9aLfG7Wa14frwNbqHluGYjbD7PWSBKYV1Xglqg1cIE2c4mgeY+pgtOap5VcwgkpUP/VwfVhlYFE8UkvUsLDNclTbWGuMMEDpgKPr9obYWqNNk3hQpeKmSaazOJUo5qZj4aRK+I1VsqVh1vVtY7EeINmUBhpIzmpCreoin2kjte9FqJRRpQLKMEePk6ZlE8bTBLEkgZOkGK8nURrALke3PakwwAoDnKGD0bGtVss14dfmFQ+j46VpmoSxJEEyh2k5JIMhZqei/tVfTpM2q6TcEfJ+HEMHVONZGnc/E+1XHZJoytFiGKRb81TyHjrUKENhuVE7q8UK5f7o828dGsJMJTDicZRZOz3qcPSYntCapUpximmBrShYJlpHUyMDaM9Hl3w4VDs/xGu1bZMZjHIBxysT2i7atEj7ZVK143ho2ASWgx1WcAyfnYMN5OJpmmOHSKioNuGKZB9uJY9TGSbl7Y3aZVhHzgWmNfp5z6AIYi7EwPTzGGE3WsNQaNCr4wzaORLJGK5p0BaYpAYPRO20bRItdZiORWZWHq9QIfSPbL+dcInXp0jNbcNasIT9C86l9eCzmIN9UKrVUCwWoiPM4VrvlTLKso7UDw4CVGUYMz8cLXNjhLEk+N7o50RpjVYKs1IgcJP4dpzQsEbr+weGFdXEVyaBsjAISQZDFDOzan0dGg48j04mybQ3YNoG6dYC1VKV0I9+b1gmylB4+RLmwBAYCnN4BCMW/WFjOG+aSc80j3zelREdvwH8EF2Kzk/KrPX9MMQ6fD5TCiwboxLiVA9Gta7tGCrwULVz9Oh50K+iAKM4HD3vcJnBw/W1AdMwsaz+6PMQi45tCaDNCekJ2xi2G0j7h7D9ErHgyLzaoWFhVAMMK8AzY3hGDIOAtBfVuA6sGMnenWjLItHaQFvcpW5utP8Pn/+VYeAkHdxsklhjDtXUitc0B6d7d/QmXu08FYZHnZswDFSt9rlyY1Gt+1iSsDYRS6IySMzI1/arjWfGKBOnMTaErapYqopZi9Xa3ACuV8QpD2OVh0drZ2snhuXVqo5InWMhhDh+7zu0naBU5TfZBZPWhgbT43R7mBWxIglb0asSbPUaecm30ON4Y9XJSAUVTj/0Mov7d0EQQtx+x+fMNEkV1EYRp/6NakpB1tKkrJBiHHqVkqIJQrwNSY6FEDPGuv5tuJUyv21cjE98Qt7TUpolToEz3BHmqnw0855hAiZNls9HE4OcqXy2Did5aUJa9Ie5BJxR3cOygd8TFAr46HGbQlwIIaYiSY6FEDPK8kM7OWV4D6+1LeT3TYvIm+Mzs1u94XF6vMjKtE/i8L3q/rHXbXUCrmgc5lU3w0NDJodK49KkP8hEc4bq5WwOYvq9FAjlXiIhxIwkybEQYsaxdcCq4ddZHR5kW2IWLzhLGMZ55ye+A1NplpjDrI6NMM/xwHbBiHO8Q6+zY5rL0nEKpTxP9sEbE5AkK6VZkobLzW5SA/sBqLzDc4QQYjqT5FgIMWOZaE4t7mf10CC7rLn82pxPD+njfr5C06zKzFEF5tgV5ltFEkaIMm3ezXWoHUlFZ1yzMw+PDUDfGJUPMBXU2wGNZpUm06chbtDigqrPUrcrkFqsQgiBJMdCCIEClgb9nOYX2GU28qQxmz3HSJItHdJGgTmqyByjRDtF4latos1otYCxu7GuMwVzU/DaiOaNMhilKqHnUfUDvFDjY1LBwNMGHiZeqKgSjWDXO5pGO6DF8Gi2PBotnzo7xEJDGEQVRGwXrUyGxqzFQgjx3ifJsRBCvEknwyxURfapNE/qJrQOaSdPO3naKGKiUcpEqcMjw8a4tkcpWJKOHsmih1UpYPjeaFlIbZhoZYyW9PJNl8COoU0bpUMsvxqVdjxcalBKFAghxB80vkf1KWTLli2sWLGClpYWzjvvPJ544onJbpIQYgprVwX+RO3kT9jBmXTTTgHzPZBZGqo2UYEQQoiTYt500023TnYjxtuDDz7I9ddfz6233spf/dVf0d3dzVe/+lWuuOIKstnsMZ8TplNY/QdQgDl3AaUla3H8EsGchejGVkpzT8MJy3jti8i3n4ZjwXOdV9AW7Ed5lWiih3iCQyvW41igbIfdS/6IjCpEE2NYNmFdM9s7L6OxuDsqoG1ZhG4SM2GTMotUdIxev5F9wWxybhGDgOFEC895y2lyBwlMBzOsUnRzfPLzvVxy6SxKKsmTfYtpzRaoWnHsoIxWBiNGHc/ub+ThX/Rhp7Ls7bPJpBTV0KQv77I0t49keQArmcCsFMicew65ZZ3kViwhO6+Z+rPXkrrwQpziAE5jPeWFp+P27UXHE+C4kMwwNG81hYa5EE/y/cHLWDCrwmB9J4XsbAZyi0hQpJJu4mHvEjqyQwzlOvBSjZQzLcSK/SivApZNkMxRcnP4posTlEYnQKi4aX41vIJcwiNX7SPj9eFWC1hhFSv0CA2buC5i6SqJgb1cfNcyrj7jDRKtjaQ/8Sky57yPrB6iYUk7+sav0zy4DTtmU3fBuZimwkqnUKZJ8X2XEcv3o0tFjESS/BkXYjsW5BpQqRQ/bLie5c52DMehfPoHcG2FQQCdp6Ca2lCt7ZilAkY2x7edL3JW6iWUYeAvXIFumoWub8YoFyGVpWfh+wkSGTAthhMt5M0cZTOJrUKUYTDQsJBKpplYeQhtWvR1rKFYNwfLMrFKI2DZjMw+FS/ThF2Kiur3tCynkGohcFM43gjactlbfzradYmXB4mmhtGUYvXc/etluPUNdBo7sUMPWwXYtoFTl2Xfp/4n89lFbn4rTeevI7dmBVa1RHxBZzScGfio7n2oVJriknUYqRRGpQDxJEMLu6g0zKGcaUW7cXZmzuD/HlhBtj1DSkft7m1bSSHXjp+qx/VGCG2XgfpF7NadxOwqw2GGinZ57JVG/s+D3cxf0kzOLWIrH60U2wZacR1FOYwRN0okvSFeYgWxlEmybxevr/3vtORfw22oI7V4PvVdK0nENY3LOvi3jz9Al36CZHMdiaYciY9tgH2vY8ZcjHMvwa4WoepjzelALTgFY3YHamggmiCg6zzsmBXV6V+4DN3eCa3tmGGVYN5SwpZ2zHIeUhn2LfsjzGSCvraVjDQtwE7EsSp5cGP0LTgLw41hVQro2oQTvptCOzZV5eIbDnu82bw0MIsXelp4ZbCFtraQZKkfs1IEy+JQ02JGUm3Ey4dQOkShKSeb+Ocd61jcOkLFTnLfK2ewrHUQMwzQhsVwehZvxBeRCQawKnm05ZAc3h9NJtPchtHShlufJbVyOcmkQd2y+aQ+fQ31KR+DECedIL5gPobj4PTvQ8eTVFrmM9C+kmShp1b438RrbOdf1WW0ZYuU3CwFM4uyDKywSmg6hJbLtuzZ5Mw8VjHql6Wm+RTqOyhnW4mN9EJQRcfT9LafQT7ehBNWKFsp9pZaKPgxHnkKmptdYpZPvX2I//3v81m91CNRm9SitPz9JIb2k111KnVL5pJIGjSvnE/8+hvJ9L1GqrWO5Kwm0hdejO55AzMRIzjzImxdRYUByrII5i+D+kbMUh6VyrBnzZVkVB6VTEEqw++XfIpGewidrWf/0kvIHdqFrpRR8QTlzlX4uRaGmhagHJennAuoT5bRps2r8dMx4xZlN4tbLRAaFgWnjl0jTby6zySTUiQdL+rvGORVlt3BXFp0N1ZpGMOvEroJXsmdRX9sDo4Ltl+hFK/na/++nJWn2Qw7jbxhzSOn+wlNG9OvoJVJMVbPs71z6Mx0E/dGiB/cgVHKoywb49RVJBozuBd9iPpGh7qulXyr5XaeXfhJPrxwJ5Zr4648A5QiRoWf6w8xP1Prk7YDtk1l7jK8pg4sv4TfNIffNF1GXapKNd3Ib+suocUdxPRKaDdGX8cahjJzyKfbGMh0MpSZS8o/FB0T6+fzO9aSTAZ0m+1c84U9PPCLMmH7GoxUHVg2b5Qb+F9bRli8cja9uonusJUe3UImA4nKIQzfI3f+uWSbEyTr4rS+71Qal8+jZf2ZGKURUu3NJC+6FPoOYuWy/HP7bTyfu5Az/KfRfhWjuZXdq6+krrAPlcqwa+WfkLEq6GwDYV0zfYvPIVXoBsOgOmcxh9pX4miPMJZkuHUp+Vw7jvaoZFq47emzWbbc5V8OnEnH7IByooFyqpFX0utopBcMk3zbEsq5WThe9Nms5pp5qeVimrx9qMAnSNfzVOpS6mJFqnYCQwdU7CQFnQKlsIwAz07yXGkZRjJG3qrDMgIGzSb+x+f3sua8pTz3RhOW6/Ifr3fw4qE25rZ5pA9uR6Wz2PM7iXfOJ718GZnWLPXrVlG3ain/su67vL/pNWINOcoXXoG9/bdYXgFv1gKCVI7uuWeSLveBE6N72YUkqKCCKmFdE1/ZsYH/GF7FuQv60LZLX9MydqrFlJwMLxc7qUuWqZoxfMNhd7md7b11HKokKQRJ6t0RbO1hEJI3c+z05tGq92MXDkUTSpkW5VwbPx74AC+XO1k2a2xuJ54RI8ff/e53+eQnP8mf/umfsmTJEm6//XZaWlq49957J7tpQgghhBBiClGDg4NT/3vCd8HzPNra2rjnnnv4yEc+Mrr8hhtu4KWXXuLhhx+exNYJIYQQQoipZNqPHPf39xMEAU1NTUctb2pqoqenZ5JaJYQQQgghpqJpnxwfptTRd6hord+yTAghhBBCzGzTPjluaGjANM23jBL39fW9ZTRZCCGEEELMbNM+OXYch1WrVvHLX/7yqOW//OUvWbdu3SS1SgghhBBCTEUzYhKQTZs2sXHjRlavXs26deu49957OXjwIFdfffVkN00IIYQQQkwh037kGOCjH/0omzdv5vbbb+ecc87hySef5P7776ejo2N0HZkk5IgTjcXjjz/OeeedR0tLCytXrnxLibzNmzeTy+WOeixevHg8N2HKOJFYHjx4kOuuu461a9dSX1/PZz/72Qls6eQa6zjdd999b+lzuVyOcrk8npsx6U4kjj/5yU/44z/+YxYsWEB7ezvr16+fMdV7xjpOM7W/wYnF8vHHH+fiiy9m/vz5tLa2snbtWr7zne9MYGsnz1jHaab2uZPN1X71q1/R0NDAWWeddVzrz4jkGOC6667jhRdeoKenh0cffZSzzz579HcPPvggN910E1/4whfYunUrXV1dfPzjH2fv3r2T2OLJcaKx2LVrF1dccQVdXV1s3bqVz3/+83zxi1/koYceOmq9RYsWsX379tHHTPjj40RjWalUqK+v53Of+xxr1qyZ4NZOnvGKUyKROKrPbd++nVgsNl6bMelONI7/9V//xbnnnsv999/P1q1bueiii7jqqqum/WdzvOI00/obnHgsU6kUGzdu5OGHH+bJJ5/khhtuYPPmzWzZsmWCWz6xxitOM63PnWyuNjg4yGc+8xnOO++8436vaV/n+HisX7+eU089lW9/+9ujy8444wwuv/xybrnllkls2cQ70Vjccsst/PSnP+W3v/3t6LK/+Iu/YNu2bTzyyCNANHL8k5/8hF/96lfjvwFTyLvpVxs2bKC+vp5/+Id/GO9mTrrxiNN9993HF7/4Rfbv3z8ubZ6KxuI4dsEFF3DWWWfxN3/zN+PVzEk3HnGaif0NxiaWV111Fa7rcs8994xXMyfdeMRpJva5k43jVVddxWmnnYbW+rhzkRkzcvx2PM/j2Wef5YILLjhq+QUXXMBTTz01Sa2aHCcTi6effvot669fv57f/e53VKvV0WW7du3ilFNOYcWKFVxzzTXs2rVrzNs/lUi/Oj7jGadSqcRpp53GsmXL2LBhA88999y7er2pbKzimM/nyeVyY928KWM84zST+huMTSyfe+45nn766aO+yZ1uxjNOM6nPnWwct2zZQk9PD3/5l395Qu8345NjmSTkiJOJRU9PzzHX932f/v5+ANasWcP3vvc9HnjgAb797W/T3d3NxRdfzMDAwPhsyBQg/er4jFecFi1axB133MEPfvADtmzZguu6XHrppezYsePdNnlKGos43n333Rw4cIANGzaMRxOnhPGK00zrb/DuYrls2TKam5s5//zzufbaa7nmmmvGs6mTarziNNP63MnE8cUXX+Qb3/gGd911F6ZpntD7zYhqFcdDJgk54kRjcaz137z8oosuOur3a9asYdWqVfzgBz/gz//8z8eiyVOW9KvjM9Zx6urqoqura/TndevWcc4553DnnXfyt3/7tyf9ulPdycbxoYce4qtf/Sr33HPPUTcqT1djHaeZ2t/g5GL58MMPUygUeOaZZ7jllluYO3cuV1555Xg2c9KNdZxmap873jhWKhWuvfZabrvtNubNm3fC7zPjk2OZJOSIk4lFc3PzMde3LIv6+vpjPieVSrF06VJ27tw5Ng2fgqRfHZ+JipNpmqxatWra9rl3E8eHHnqIz3zmM/zjP/4jH/zgB8ezmZNuouI03fsbvLtYHk5WTj31VHp6evj6178+bZPjiYrTdO9zJxrHgwcPsm3bNjZt2sSmTZsACMMQrTUNDQ088MADb7lE481m/GUVMknIEScTi66uLv7zP//zLeuffvrp2LZ9zOeUy2VeffVVWlpaxqTdU5H0q+MzUXHSWvPiiy9O2z53snH88Y9/zMaNG/ne977H5ZdfPt7NnHQTFafp3t9g7D67YRjied5YN2/KmKg4Tfc+d6JxnDVrFk888QSPPfbY6OOaa66hs7OTxx577KhR92OZ8SPHIJOEvNk7xWLjxo0A3HnnnQBcffXV3H333dx0001cffXVPPXUU6PXQB32la98hUsvvZT29nb6+vq4/fbbKRaLfOITn5j4DZxAJxpLgOeffx6A4eFhlFI8//zzOI7D0qVLJ34DJsh4xOnrX/86a9euZcGCBQwPD3PnnXfy4osv8s1vfnOCt27inGgcf/SjH7Fx40Zuu+023ve+99Hd3Q1EJ6G6urrJ2YgJMB5xmon9DU48lnfeeSdz585l0aJFQFQm74477uDaa6+dnA2YIOMRp5nY504kjrZts2zZsqOe39jYiOu6b1l+LJIcE00SMjAwwO233053dzennHLKWyYJmSneKRb79u07av158+Zx//3386UvfYl7772X1tZWvvGNbxw1unLgwAGuu+46+vv7aWxsZM2aNTzyyCPTPr4nGkuAc88996iff/7znzNnzhxeeOGFCWnzZBiPOA0NDXH99dfT09NDJpNhxYoVPPzww6xevXr8N2iSnGgc7733Xnzf5+abb+bmm28eXX722Wfzs5/9bELbPpHGI04zsb/BiccyCAJuvfVW9uzZg2VZzJs3j1tuuWVa35AH4xOnmdjnTuZccbKkzrEQQgghhBA1M/6aYyGEEEIIIQ6T5FgIIYQQQogaSY6FEEIIIYSokeRYCCGEEEKIGkmOhRBCCCGEqJHkWAghhBBCiBpJjoUQYprI5XJs3rx5spshhBDvaTIJiBBCTFG5XO641vvud7/Lpz71qXFujRBCzAySHAshxBT15imzAf7pn/6JZ555hjvuuOOo5evWrQPg4MGDWJYc1oUQ4t2QGfKEEOI94rOf/SwPPvgg3d3dk90UIYSYtuSaYyGEmCb+/2uO77vvPnK5HI8//jhf+tKXWLhwIR0dHWzatIlyuUyhUOBzn/scnZ2ddHR0cMMNN+D7/lte90c/+hHr16+nra2Njo4ONmzYwLZt2yZy04QQYsLI929CCDHN3XzzzTQ2NnLjjTfy7LPPct9995FIJNi1axfxeJwvf/nLbN26lS1bttDZ2cmf/dmfjT737//+77n11lu57LLLuPLKKykUCmzZsoVLLrmERx99lHnz5k3ehgkhxDiQ5FgIIaa5hoYGHnzwQZRSAOzZs4ctW7bw8Y9/nLvuuguAa6+9lnXr1vH9739/NDneu3cvf/3Xf82NN97IzTffPPp6V155JV1dXfzd3/3dW65/FkKI9zq5rEIIIaa5q666ajQxBlizZg1aaz796U8ftd7q1at5/fXXR3/+6U9/iu/7fOxjH6O/v3/0Yds2a9asYevWrRO2DUIIMVFk5FgIIaa59vb2o37OZDJvu7xUKlGpVHBdlx07dgDQ1dV1zNdNJBLj0FohhJhckhwLIcQ0Z5rmMZcbxrG/PNQ6KmIUhiEAP/zhD49ZIu7tni+EEO9lkhwLIYQ4pvnz5wPRCPPSpUsnuTVCCDEx5M9+IYQQx/ThD38Yy7LYvHnz6Cjym/X19U1Cq4QQYnzJyLEQQohjmjdvHl/72tf48pe/zIUXXshll11GXV0de/fu5Re/+AVr1qzhW9/61mQ3UwghxpQkx0IIId7Wpk2bWLhwId/5znf45je/ie/7tLW1ceaZZ76l2oUQQkwHMn20EEIIIYQQNXLNsRBCCCGEEDWSHAshhBBCCFEjybEQQgghhBA1khwLIYQQQghRI8mxEEIIIYQQNZIcCyGEEEIIUSPJsRBCCCGEEDWSHAshhBBCCFEjybEQQgghhBA1khwLIYQQQghR8/8AszU6hFw/IMcAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert spectrogram to decibels for visualization\n", "spec_db = amplitude_to_db(spec)\n", "\n", "# Display these features on top of the spectrogram\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "ax = specshow(spec_db, x_axis='time', y_axis='hz', hop_length=HOP_LENGTH);\n", "ax.plot(times_spec, centroids);\n", "ax.fill_between(times_spec, centroids - bandwidths / 2, centroids + bandwidths / 2, alpha=.5);\n", "ax.set(ylim=[None, 6000]);\n", "plt.savefig('../images/spectrogram_centroid.png')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }